75768387968 has 192 divisors, whose sum is σ = 190289196720. Its totient is φ = 29785190400.

The previous prime is 75768387943. The next prime is 75768387973. The reversal of 75768387968 is 86978386757.

It is a junction number, because it is equal to n+sod(n) for n = 75768387895 and 75768387904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13287518 + ... + 13293218.

Almost surely, 2^75768387968 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 75768387968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95144598360).

75768387968 is an abundant number, since it is smaller than the sum of its proper divisors (114520808752).

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

75768387968 is a wasteful number, since it uses less digits than its factorization.

75768387968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5905 (or 5886 counting only the distinct ones).

The product of its digits is 853493760, while the sum is 74.

The spelling of 75768387968 in words is "seventy-five billion, seven hundred sixty-eight million, three hundred eighty-seven thousand, nine hundred sixty-eight".