74872795680 has 288 divisors, whose sum is σ = 260308339200. Its totient is φ = 19592202240.

The previous prime is 74872795667. The next prime is 74872795687. The reversal of 74872795680 is 8659727847.

74872795680 is a `hidden beast` number, since 7 + 48 + 7 + 27 + 9 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (74872795687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52615449 + ... + 52616871.

It is an arithmetic number, because the mean of its divisors is an integer number (903848400).

Almost surely, 2^74872795680 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 74872795680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130154169600).

74872795680 is an abundant number, since it is smaller than the sum of its proper divisors (185435543520).

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

74872795680 is a wasteful number, since it uses less digits than its factorization.

74872795680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2104 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 74872795680 in words is "seventy-four billion, eight hundred seventy-two million, seven hundred ninety-five thousand, six hundred eighty".