74860302508992 has 672 divisors, whose sum is σ = 297392318705664. Its totient is φ = 17369535283200.

The previous prime is 74860302508967. The next prime is 74860302509009. The reversal of 74860302508992 is 29980520306847.

74860302508992 is a `hidden beast` number, since 7 + 4 + 8 + 6 + 0 + 30 + 2 + 508 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15779728 + ... + 19967984.

It is an arithmetic number, because the mean of its divisors is an integer number (442548093312).

Almost surely, 2^{74860302508992} is an apocalyptic number.

74860302508992 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 74860302508992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148696159352832).

74860302508992 is an abundant number, since it is smaller than the sum of its proper divisors (222532016196672).

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

74860302508992 is a wasteful number, since it uses less digits than its factorization.

74860302508992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4188337 (or 4188324 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 74860302508992 in words is "seventy-four trillion, eight hundred sixty billion, three hundred two million, five hundred eight thousand, nine hundred ninety-two".