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64095644340 = 22325713174353101
BaseRepresentation
bin111011101100011001…
…011110101010110100
320010102221021002120100
4323230121132222310
52022231441104330
645240052034100
74426230662520
oct735431365264
9203387232510
1064095644340
11252013582a2
1210509602930
136076128990
1431607c2d80
151a020bc060
hexeec65eab4

64095644340 has 1152 divisors, whose sum is σ = 266765571072. Its totient is φ = 12076646400.

The previous prime is 64095644339. The next prime is 64095644341. The reversal of 64095644340 is 4344659046.

64095644340 is a `hidden beast` number, since 6 + 4 + 0 + 9 + 564 + 43 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (64095644339) and next prime (64095644341).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64095644341) 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, 634610290 + ... + 634610390.

It is an arithmetic number, because the mean of its divisors is an integer number (231567336).

Almost surely, 264095644340 is an apocalyptic number.

64095644340 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 64095644340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133382785536).

64095644340 is an abundant number, since it is smaller than the sum of its proper divisors (202669926732).

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

64095644340 is a wasteful number, since it uses less digits than its factorization.

64095644340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 64095644340 in words is "sixty-four billion, ninety-five million, six hundred forty-four thousand, three hundred forty".