75924544612768 has 192 divisors, whose sum is σ = 165776302944000. Its totient is φ = 34076224143360.

The previous prime is 75924544612729. The next prime is 75924544612793. The reversal of 75924544612768 is 86721644542957.

It is a junction number, because it is equal to n+sod(n) for n = 75924544612697 and 75924544612706.

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, 414364053 + ... + 414547243.

It is an arithmetic number, because the mean of its divisors is an integer number (863418244500).

Almost surely, 2^{75924544612768} 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 75924544612768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82888151472000).

75924544612768 is an abundant number, since it is smaller than the sum of its proper divisors (89851758331232).

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

75924544612768 is a wasteful number, since it uses less digits than its factorization.

75924544612768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183663 (or 183655 counting only the distinct ones).

The product of its digits is 812851200, while the sum is 70.

The spelling of 75924544612768 in words is "seventy-five trillion, nine hundred twenty-four billion, five hundred forty-four million, six hundred twelve thousand, seven hundred sixty-eight".