74590904740560 has 480 divisors, whose sum is σ = 255744311495040. Its totient is φ = 17971490414592.

The previous prime is 74590904740531. The next prime is 74590904740589. The reversal of 74590904740560 is 6504740909547.

It is an interprime number because it is at equal distance from previous prime (74590904740531) and next prime (74590904740589).

It is a super-2 number, since 2×74590904740560² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 74590904740494 and 74590904740503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 426563226 + ... + 426738054.

It is an arithmetic number, because the mean of its divisors is an integer number (532800648948).

Almost surely, 2^{74590904740560} 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 74590904740560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127872155747520).

74590904740560 is an abundant number, since it is smaller than the sum of its proper divisors (181153406754480).

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

74590904740560 is a wasteful number, since it uses less digits than its factorization.

74590904740560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175095 (or 175076 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 60.

The spelling of 74590904740560 in words is "seventy-four trillion, five hundred ninety billion, nine hundred four million, seven hundred forty thousand, five hundred sixty".