74833306027564 has 192 divisors, whose sum is σ = 160410716928000. Its totient is φ = 29817149386752.

The previous prime is 74833306027561. The next prime is 74833306027591. The reversal of 74833306027564 is 46572060333847.

It is a junction number, because it is equal to n+sod(n) for n = 74833306027499 and 74833306027508.

It is not an unprimeable number, because it can be changed into a prime (74833306027561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33968816887 + ... + 33968819089.

It is an arithmetic number, because the mean of its divisors is an integer number (835472484000).

Almost surely, 2^{74833306027564} 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 74833306027564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80205358464000).

74833306027564 is an abundant number, since it is smaller than the sum of its proper divisors (85577410900436).

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

74833306027564 is a wasteful number, since it uses less digits than its factorization.

74833306027564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4032 (or 4030 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 58.

The spelling of 74833306027564 in words is "seventy-four trillion, eight hundred thirty-three billion, three hundred six million, twenty-seven thousand, five hundred sixty-four".