75795920345600 has 960 divisors, whose sum is σ = 233627505382656. Its totient is φ = 23730105876480.

The previous prime is 75795920345569. The next prime is 75795920345623. The reversal of 75795920345600 is 654302959757.

It is a super-4 number, since 4×75795920345600⁴ (a number of 57 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45742859972 + ... + 45742861628.

Almost surely, 2^{75795920345600} is an apocalyptic number.

75795920345600 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 75795920345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116813752691328).

75795920345600 is an abundant number, since it is smaller than the sum of its proper divisors (157831585037056).

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

75795920345600 is a wasteful number, since it uses less digits than its factorization.

75795920345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2105 (or 2084 counting only the distinct ones).

The product of its (nonzero) digits is 71442000, while the sum is 62.

The spelling of 75795920345600 in words is "seventy-five trillion, seven hundred ninety-five billion, nine hundred twenty million, three hundred forty-five thousand, six hundred".