64757911680 has 384 divisors, whose sum is σ = 278797334400. Its totient is φ = 13456097280.

The previous prime is 64757911651. The next prime is 64757911681. The reversal of 64757911680 is 8611975746.

64757911680 is a `hidden beast` number, since 6 + 4 + 7 + 579 + 1 + 1 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (64757911681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 370516 + ... + 516524.

It is an arithmetic number, because the mean of its divisors is an integer number (726034725).

Almost surely, 2^64757911680 is an apocalyptic number.

64757911680 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 64757911680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139398667200).

64757911680 is an abundant number, since it is smaller than the sum of its proper divisors (214039422720).

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

64757911680 is a wasteful number, since it uses less digits than its factorization.

64757911680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146052 (or 146037 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 64757911680 in words is "sixty-four billion, seven hundred fifty-seven million, nine hundred eleven thousand, six hundred eighty".