75809768832 has 640 divisors, whose sum is σ = 268512552000. Its totient is φ = 20782448640.

The previous prime is 75809768821. The next prime is 75809768843. The reversal of 75809768832 is 23886790857.

It is an interprime number because it is at equal distance from previous prime (75809768821) and next prime (75809768843).

It is a super-2 number, since 2×75809768832² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 75809768832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 217219794 + ... + 217220142.

Almost surely, 2^75809768832 is an apocalyptic number.

75809768832 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75809768832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134256276000).

75809768832 is an abundant number, since it is smaller than the sum of its proper divisors (192702783168).

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

75809768832 is a wasteful number, since it uses less digits than its factorization.

75809768832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 75809768832 in words is "seventy-five billion, eight hundred nine million, seven hundred sixty-eight thousand, eight hundred thirty-two".