74557532160 has 864 divisors, whose sum is σ = 286227133920. Its totient is φ = 18608652288.

The previous prime is 74557532149. The next prime is 74557532167. The reversal of 74557532160 is 6123575547.

It is a happy number.

74557532160 is a `hidden beast` number, since 7 + 4 + 5 + 57 + 532 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (74557532167) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 898283479 + ... + 898283561.

It is an arithmetic number, because the mean of its divisors is an integer number (331281405).

Almost surely, 2^74557532160 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 74557532160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143113566960).

74557532160 is an abundant number, since it is smaller than the sum of its proper divisors (211669601760).

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

74557532160 is an equidigital number, since it uses as much as digits as its factorization.

74557532160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 74557532160 in words is "seventy-four billion, five hundred fifty-seven million, five hundred thirty-two thousand, one hundred sixty".