75969382320 has 240 divisors, whose sum is σ = 275010939840. Its totient is φ = 18682804224.

The previous prime is 75969382273. The next prime is 75969382381. The reversal of 75969382320 is 2328396957.

It is a happy number.

75969382320 is a `hidden beast` number, since 7 + 596 + 9 + 3 + 8 + 23 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12192966 + ... + 12199194.

It is an arithmetic number, because the mean of its divisors is an integer number (1145878916).

Almost surely, 2^75969382320 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 75969382320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137505469920).

75969382320 is an abundant number, since it is smaller than the sum of its proper divisors (199041557520).

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

75969382320 is a wasteful number, since it uses less digits than its factorization.

75969382320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7564 (or 7555 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 75969382320 in words is "seventy-five billion, nine hundred sixty-nine million, three hundred eighty-two thousand, three hundred twenty".