165007290672 has 480 divisors, whose sum is σ = 593011419840. Its totient is φ = 43638497280.

The previous prime is 165007290659. The next prime is 165007290697. The reversal of 165007290672 is 276092700561.

165007290672 is a `hidden beast` number, since 1 + 6 + 500 + 72 + 9 + 0 + 6 + 72 = 666.

It is a super-3 number, since 3×165007290672³ (a number of 35 digits) contains 333 as substring.

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, 21947458 + ... + 21954974.

It is an arithmetic number, because the mean of its divisors is an integer number (1235440458).

Almost surely, 2^165007290672 is an apocalyptic number.

165007290672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165007290672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296505709920).

165007290672 is an abundant number, since it is smaller than the sum of its proper divisors (428004129168).

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

165007290672 is a wasteful number, since it uses less digits than its factorization.

165007290672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7626 (or 7607 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 165007290672 in words is "one hundred sixty-five billion, seven million, two hundred ninety thousand, six hundred seventy-two".