74971456560 has 1920 divisors, whose sum is σ = 372036188160. Its totient is φ = 13005619200.

The previous prime is 74971456559. The next prime is 74971456561. The reversal of 74971456560 is 6565417947.

74971456560 is a `hidden beast` number, since 7 + 4 + 9 + 7 + 14 + 565 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (74971456559) and next prime (74971456561).

It is a junction number, because it is equal to n+sod(n) for n = 74971456497 and 74971456506.

It is not an unprimeable number, because it can be changed into a prime (74971456561) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 355314855 + ... + 355315065.

It is an arithmetic number, because the mean of its divisors is an integer number (193768848).

Almost surely, 2^74971456560 is an apocalyptic number.

74971456560 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 74971456560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186018094080).

74971456560 is an abundant number, since it is smaller than the sum of its proper divisors (297064731600).

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

74971456560 is a wasteful number, since it uses less digits than its factorization.

74971456560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 74971456560 in words is "seventy-four billion, nine hundred seventy-one million, four hundred fifty-six thousand, five hundred sixty".