166672671264 has 288 divisors, whose sum is σ = 557561309760. Its totient is φ = 46680883200.

The previous prime is 166672671043. The next prime is 166672671287. The reversal of 166672671264 is 462176276661.

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

It is a super-2 number, since 2×166672671264² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 166672671264.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2434104 + ... + 2501640.

It is an arithmetic number, because the mean of its divisors is an integer number (1935976770).

Almost surely, 2^166672671264 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 166672671264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278780654880).

166672671264 is an abundant number, since it is smaller than the sum of its proper divisors (390888638496).

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

166672671264 is a wasteful number, since it uses less digits than its factorization.

166672671264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67624 (or 67613 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The spelling of 166672671264 in words is "one hundred sixty-six billion, six hundred seventy-two million, six hundred seventy-one thousand, two hundred sixty-four".