64591008768 has 1056 divisors, whose sum is σ = 245871884160. Its totient is φ = 16456089600.

The previous prime is 64591008739. The next prime is 64591008791. The reversal of 64591008768 is 86780019546.

64591008768 is a `hidden beast` number, since 6 + 459 + 100 + 87 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2083580913 + ... + 2083580943.

Almost surely, 2^64591008768 is an apocalyptic number.

64591008768 is a gapful number since it is divisible by the number (68) 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 64591008768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122935942080).

64591008768 is an abundant number, since it is smaller than the sum of its proper divisors (181280875392).

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

64591008768 is a wasteful number, since it uses less digits than its factorization.

64591008768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 64591008768 in words is "sixty-four billion, five hundred ninety-one million, eight thousand, seven hundred sixty-eight".