75864559680 has 756 divisors, whose sum is σ = 328794424452. Its totient is φ = 16001556480.

The previous prime is 75864559679. The next prime is 75864559717. The reversal of 75864559680 is 8695546857.

75864559680 is a `hidden beast` number, since 7 + 586 + 45 + 5 + 9 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 32677069824 + 43187489856 = 180768^2 + 207816^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 23847690 + ... + 23850870.

Almost surely, 2^75864559680 is an apocalyptic number.

75864559680 is a gapful number since it is divisible by the number (70) 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 75864559680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164397212226).

75864559680 is an abundant number, since it is smaller than the sum of its proper divisors (252929864772).

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

75864559680 is a wasteful number, since it uses less digits than its factorization.

75864559680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3244 (or 3211 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 75864559680 in words is "seventy-five billion, eight hundred sixty-four million, five hundred fifty-nine thousand, six hundred eighty".