74789152959888 has 560 divisors, whose sum is σ = 224938665504000. Its totient is φ = 24066465196032.

The previous prime is 74789152959841. The next prime is 74789152959893. The reversal of 74789152959888 is 88895925198747.

74789152959888 is a `hidden beast` number, since 7 + 4 + 7 + 8 + 9 + 1 + 5 + 2 + 9 + 598 + 8 + 8 = 666.

74789152959888 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 74789152959798 and 74789152959807.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 12006603558 + ... + 12006609786.

It is an arithmetic number, because the mean of its divisors is an integer number (401676188400).

Almost surely, 2^{74789152959888} 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 74789152959888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112469332752000).

74789152959888 is an abundant number, since it is smaller than the sum of its proper divisors (150149512544112).

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

74789152959888 is a wasteful number, since it uses less digits than its factorization.

74789152959888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6626 (or 6605 counting only the distinct ones).

The product of its digits is 29262643200, while the sum is 90.

The spelling of 74789152959888 in words is "seventy-four trillion, seven hundred eighty-nine billion, one hundred fifty-two million, nine hundred fifty-nine thousand, eight hundred eighty-eight".