75791268096 has 288 divisors, whose sum is σ = 221604397056. Its totient is φ = 22892544000.

The previous prime is 75791268067. The next prime is 75791268101. The reversal of 75791268096 is 69086219757.

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, 109683111 + ... + 109683801.

It is an arithmetic number, because the mean of its divisors is an integer number (769459712).

Almost surely, 2^75791268096 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 75791268096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110802198528).

75791268096 is an abundant number, since it is smaller than the sum of its proper divisors (145813128960).

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

75791268096 is a wasteful number, since it uses less digits than its factorization.

75791268096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 60.

The spelling of 75791268096 in words is "seventy-five billion, seven hundred ninety-one million, two hundred sixty-eight thousand, ninety-six".