74803286732832 has 960 divisors, whose sum is σ = 261169658830080. Its totient is φ = 20562871320576.

The previous prime is 74803286732753. The next prime is 74803286732897. The reversal of 74803286732832 is 23823768230847.

74803286732832 is a `hidden beast` number, since 7 + 4 + 8 + 0 + 3 + 286 + 73 + 283 + 2 = 666.

74803286732832 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 74803286732832.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12565642368 + ... + 12565648320.

It is an arithmetic number, because the mean of its divisors is an integer number (272051727948).

Almost surely, 2^{74803286732832} is an apocalyptic number.

74803286732832 is a gapful number since it is divisible by the number (72) 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 74803286732832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130584829415040).

74803286732832 is an abundant number, since it is smaller than the sum of its proper divisors (186366372097248).

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

74803286732832 is a wasteful number, since it uses less digits than its factorization.

74803286732832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6287 (or 6270 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 63.

The spelling of 74803286732832 in words is "seventy-four trillion, eight hundred three billion, two hundred eighty-six million, seven hundred thirty-two thousand, eight hundred thirty-two".