75977627264 has 256 divisors, whose sum is σ = 200445373440. Its totient is φ = 27772108800.

The previous prime is 75977627239. The next prime is 75977627303. The reversal of 75977627264 is 46272677957.

It is a super-2 number, since 2×75977627264² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 75977627197 and 75977627206.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78246299 + ... + 78247269.

It is an arithmetic number, because the mean of its divisors is an integer number (782989740).

Almost surely, 2^75977627264 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 75977627264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100222686720).

75977627264 is an abundant number, since it is smaller than the sum of its proper divisors (124467746176).

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

75977627264 is a wasteful number, since it uses less digits than its factorization.

75977627264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487 (or 1475 counting only the distinct ones).

The product of its digits is 62233920, while the sum is 62.

The spelling of 75977627264 in words is "seventy-five billion, nine hundred seventy-seven million, six hundred twenty-seven thousand, two hundred sixty-four".