75051920466432 has 320 divisors, whose sum is σ = 273426338760960. Its totient is φ = 19793912758272.

The previous prime is 75051920466343. The next prime is 75051920466451. The reversal of 75051920466432 is 23466402915057.

It is a happy number.

75051920466432 is a `hidden beast` number, since 7 + 5 + 0 + 51 + 92 + 0 + 466 + 43 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 28572253 + ... + 31088220.

It is an arithmetic number, because the mean of its divisors is an integer number (854457308628).

Almost surely, 2^{75051920466432} is an apocalyptic number.

75051920466432 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

75051920466432 is an abundant number, since it is smaller than the sum of its proper divisors (198374418294528).

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

75051920466432 is a wasteful number, since it uses less digits than its factorization.

75051920466432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59660520 (or 59660498 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 75051920466432 in words is "seventy-five trillion, fifty-one billion, nine hundred twenty million, four hundred sixty-six thousand, four hundred thirty-two".