74809525128 has 192 divisors, whose sum is σ = 213514444800. Its totient is φ = 21800113920.

The previous prime is 74809525123. The next prime is 74809525213. The reversal of 74809525128 is 82152590847.

It is not an unprimeable number, because it can be changed into a prime (74809525123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5903263 + ... + 5915921.

It is an arithmetic number, because the mean of its divisors is an integer number (1112054400).

Almost surely, 2^74809525128 is an apocalyptic number.

74809525128 is a gapful number since it is divisible by the number (78) 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 74809525128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106757222400).

74809525128 is an abundant number, since it is smaller than the sum of its proper divisors (138704919672).

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

74809525128 is a wasteful number, since it uses less digits than its factorization.

74809525128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12772 (or 12755 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 51.

The spelling of 74809525128 in words is "seventy-four billion, eight hundred nine million, five hundred twenty-five thousand, one hundred twenty-eight".