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68840411640 = 23357211131931139
BaseRepresentation
bin100000000011100110…
…1010101000111111000
320120200121101020200120
41000013031111013320
52111441121133030
651342544533240
74654633562400
oct1000715250770
9216617336616
1068840411640
1127216688190
1211412621220
1366511321b0
143490a05800
151bcd909010
hex10073551f8

68840411640 has 1536 divisors, whose sum is σ = 308883456000. Its totient is φ = 12018585600.

The previous prime is 68840411639. The next prime is 68840411641. The reversal of 68840411640 is 4611404886.

It is an interprime number because it is at equal distance from previous prime (68840411639) and next prime (68840411641).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 68840411592 and 68840411601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68840411641) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 495254691 + ... + 495254829.

It is an arithmetic number, because the mean of its divisors is an integer number (201096000).

Almost surely, 268840411640 is an apocalyptic number.

68840411640 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 68840411640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154441728000).

68840411640 is an abundant number, since it is smaller than the sum of its proper divisors (240043044360).

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

68840411640 is a wasteful number, since it uses less digits than its factorization.

68840411640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 68840411640 in words is "sixty-eight billion, eight hundred forty million, four hundred eleven thousand, six hundred forty".