64757661696 has 768 divisors, whose sum is σ = 244272537600. Its totient is φ = 16052649984.

The previous prime is 64757661679. The next prime is 64757661713. The reversal of 64757661696 is 69616675746.

64757661696 is a `hidden beast` number, since 6 + 4 + 7 + 5 + 7 + 6 + 616 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (64757661679) and next prime (64757661713).

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 509902785 + ... + 509902911.

It is an arithmetic number, because the mean of its divisors is an integer number (318063200).

Almost surely, 2^64757661696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64757661696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122136268800).

64757661696 is an abundant number, since it is smaller than the sum of its proper divisors (179514875904).

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

64757661696 is a wasteful number, since it uses less digits than its factorization.

64757661696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 171 counting only the distinct ones).

The product of its digits is 68584320, while the sum is 63.

The spelling of 64757661696 in words is "sixty-four billion, seven hundred fifty-seven million, six hundred sixty-one thousand, six hundred ninety-six".