75420592128 has 384 divisors, whose sum is σ = 256628736000. Its totient is φ = 21439365120.

The previous prime is 75420592073. The next prime is 75420592147. The reversal of 75420592128 is 82129502457.

75420592128 is a `hidden beast` number, since 7 + 5 + 42 + 0 + 592 + 12 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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, 104896153 + ... + 104896871.

It is an arithmetic number, because the mean of its divisors is an integer number (668304000).

Almost surely, 2^75420592128 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 75420592128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128314368000).

75420592128 is an abundant number, since it is smaller than the sum of its proper divisors (181208143872).

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

75420592128 is a wasteful number, since it uses less digits than its factorization.

75420592128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 75420592128 in words is "seventy-five billion, four hundred twenty million, five hundred ninety-two thousand, one hundred twenty-eight".