74983768320 has 288 divisors, whose sum is σ = 252216518400. Its totient is φ = 18948390912.

The previous prime is 74983768319. The next prime is 74983768361. The reversal of 74983768320 is 2386738947.

It is a super-2 number, since 2×74983768320² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9622986 + ... + 9630774.

It is an arithmetic number, because the mean of its divisors is an integer number (875751800).

Almost surely, 2^74983768320 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 74983768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126108259200).

74983768320 is an abundant number, since it is smaller than the sum of its proper divisors (177232750080).

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

74983768320 is a wasteful number, since it uses less digits than its factorization.

74983768320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7945 (or 7931 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 57.

The spelling of 74983768320 in words is "seventy-four billion, nine hundred eighty-three million, seven hundred sixty-eight thousand, three hundred twenty".