74202946560 has 1056 divisors, whose sum is σ = 291128597760. Its totient is φ = 18059231232.

The previous prime is 74202946511. The next prime is 74202946577. The reversal of 74202946560 is 6564920247.

74202946560 is a `hidden beast` number, since 7 + 4 + 20 + 29 + 46 + 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 95 ways as a sum of consecutive naturals, for example, 1016478684 + ... + 1016478756.

It is an arithmetic number, because the mean of its divisors is an integer number (275689960).

Almost surely, 2^74202946560 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 74202946560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145564298880).

74202946560 is an abundant number, since it is smaller than the sum of its proper divisors (216925651200).

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

74202946560 is a wasteful number, since it uses less digits than its factorization.

74202946560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 74202946560 in words is "seventy-four billion, two hundred two million, nine hundred forty-six thousand, five hundred sixty".