74364480 has 280 divisors, whose sum is σ = 280294080. Its totient is φ = 18662400.

The previous prime is 74364467. The next prime is 74364491. The reversal of 74364480 is 8446347.

74364480 is a `hidden beast` number, since 7 + 4 + 3 + 644 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 492405 + ... + 492555.

Almost surely, 2^74364480 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 74364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140147040).

74364480 is an abundant number, since it is smaller than the sum of its proper divisors (205929600).

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

74364480 is a wasteful number, since it uses less digits than its factorization.

74364480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 74364480 is about 8623.4842146316. The cubic root of 74364480 is about 420.5218004357.

The spelling of 74364480 in words is "seventy-four million, three hundred sixty-four thousand, four hundred eighty".