75940749660160 has 832 divisors, whose sum is σ = 231152701929984. Its totient is φ = 23260771123200.

The previous prime is 75940749660137. The next prime is 75940749660163. The reversal of 75940749660160 is 6106694704957.

75940749660160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 75940749660092 and 75940749660101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75940749660163) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36492430320 + ... + 36492432400.

Almost surely, 2^{75940749660160} is an apocalyptic number.

75940749660160 is a gapful number since it is divisible by the number (70) 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 75940749660160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115576350964992).

75940749660160 is an abundant number, since it is smaller than the sum of its proper divisors (155211952269824).

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

75940749660160 is a wasteful number, since it uses less digits than its factorization.

75940749660160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2518 (or 2496 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 64.

The spelling of 75940749660160 in words is "seventy-five trillion, nine hundred forty billion, seven hundred forty-nine million, six hundred sixty thousand, one hundred sixty".