74014864560 has 1440 divisors, whose sum is σ = 332811198720. Its totient is φ = 15143417856.

The previous prime is 74014864531. The next prime is 74014864669. The reversal of 74014864560 is 6546841047.

74014864560 is a `hidden beast` number, since 7 + 4 + 0 + 1 + 4 + 86 + 4 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 532480971 + ... + 532481109.

It is an arithmetic number, because the mean of its divisors is an integer number (231118888).

Almost surely, 2^74014864560 is an apocalyptic number.

74014864560 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 74014864560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166405599360).

74014864560 is an abundant number, since it is smaller than the sum of its proper divisors (258796334160).

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

74014864560 is a wasteful number, since it uses less digits than its factorization.

74014864560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 74014864560 in words is "seventy-four billion, fourteen million, eight hundred sixty-four thousand, five hundred sixty".