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67371680640 = 27351117318439
BaseRepresentation
bin111110101111101010…
…100100001110000000
320102220020200222112010
4332233222210032000
52100434122240030
650541120532520
74603350556665
oct765752441600
9212806628463
1067371680640
1126632614910
1211082781140
136478a6a6b4
143391921a6c
151b449d96b0
hexfafaa4380

67371680640 has 256 divisors, whose sum is σ = 235636646400. Its totient is φ = 16237240320.

The previous prime is 67371680639. The next prime is 67371680647. The reversal of 67371680640 is 4608617376.

67371680640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 67371680640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67371680647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3644541 + ... + 3662979.

It is an arithmetic number, because the mean of its divisors is an integer number (920455650).

Almost surely, 267371680640 is an apocalyptic number.

67371680640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67371680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117818323200).

67371680640 is an abundant number, since it is smaller than the sum of its proper divisors (168264965760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

67371680640 is a wasteful number, since it uses less digits than its factorization.

67371680640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18645 (or 18633 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 67371680640 in words is "sixty-seven billion, three hundred seventy-one million, six hundred eighty thousand, six hundred forty".