165457672704 has 320 divisors, whose sum is σ = 511345486080. Its totient is φ = 52772290560.

The previous prime is 165457672673. The next prime is 165457672717. The reversal of 165457672704 is 407276754561.

165457672704 is a `hidden beast` number, since 1 + 6 + 545 + 76 + 7 + 27 + 0 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31198117 + ... + 31203419.

It is an arithmetic number, because the mean of its divisors is an integer number (1597954644).

Almost surely, 2^165457672704 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 165457672704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255672743040).

165457672704 is an abundant number, since it is smaller than the sum of its proper divisors (345887813376).

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

165457672704 is an equidigital number, since it uses as much as digits as its factorization.

165457672704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5428 (or 5406 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 165457672704 in words is "one hundred sixty-five billion, four hundred fifty-seven million, six hundred seventy-two thousand, seven hundred four".