74659890240 has 560 divisors, whose sum is σ = 290364013632. Its totient is φ = 18098049024.

The previous prime is 74659890229. The next prime is 74659890251. The reversal of 74659890240 is 4209895647.

74659890240 is a `hidden beast` number, since 7 + 4 + 6 + 598 + 9 + 0 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (74659890229) and next prime (74659890251).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22574667 + ... + 22577973.

Almost surely, 2^74659890240 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 74659890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145182006816).

74659890240 is an abundant number, since it is smaller than the sum of its proper divisors (215704123392).

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

74659890240 is a wasteful number, since it uses less digits than its factorization.

74659890240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3416 (or 3397 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 74659890240 in words is "seventy-four billion, six hundred fifty-nine million, eight hundred ninety thousand, two hundred forty".