74660382720 has 1440 divisors, whose sum is σ = 341629928640. Its totient is φ = 15420948480.

The previous prime is 74660382701. The next prime is 74660382739. The reversal of 74660382720 is 2728306647.

It is an interprime number because it is at equal distance from previous prime (74660382701) and next prime (74660382739).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 447068077 + ... + 447068243.

It is an arithmetic number, because the mean of its divisors is an integer number (237243006).

Almost surely, 2^74660382720 is an apocalyptic number.

74660382720 is a gapful number since it is divisible by the number (70) 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 74660382720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170814964320).

74660382720 is an abundant number, since it is smaller than the sum of its proper divisors (266969545920).

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

74660382720 is a wasteful number, since it uses less digits than its factorization.

74660382720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 74660382720 in words is "seventy-four billion, six hundred sixty million, three hundred eighty-two thousand, seven hundred twenty".