74928706720 has 384 divisors, whose sum is σ = 213482304000. Its totient is φ = 24829894656.

The previous prime is 74928706693. The next prime is 74928706739. The reversal of 74928706720 is 2760782947.

It is a super-2 number, since 2×74928706720² (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 63 ways as a sum of consecutive naturals, for example, 236368002 + ... + 236368318.

It is an arithmetic number, because the mean of its divisors is an integer number (555943500).

Almost surely, 2^74928706720 is an apocalyptic number.

74928706720 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 74928706720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106741152000).

74928706720 is an abundant number, since it is smaller than the sum of its proper divisors (138553597280).

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

74928706720 is a wasteful number, since it uses less digits than its factorization.

74928706720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 52.

The spelling of 74928706720 in words is "seventy-four billion, nine hundred twenty-eight million, seven hundred six thousand, seven hundred twenty".