75680656128 has 1080 divisors, whose sum is σ = 294731064320. Its totient is φ = 18886348800.

The previous prime is 75680656109. The next prime is 75680656231. The reversal of 75680656128 is 82165608657.

75680656128 is a `hidden beast` number, since 7 + 56 + 8 + 0 + 6 + 561 + 28 = 666.

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

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 544465083 + ... + 544465221.

Almost surely, 2^75680656128 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 75680656128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147365532160).

75680656128 is an abundant number, since it is smaller than the sum of its proper divisors (219050408192).

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

75680656128 is a wasteful number, since it uses less digits than its factorization.

75680656128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 75680656128 in words is "seventy-five billion, six hundred eighty million, six hundred fifty-six thousand, one hundred twenty-eight".