669672476665920 has 4032 divisors, whose sum is σ = 3075098512711680. Its totient is φ = 137429161132032.

The previous prime is 669672476665903. The next prime is 669672476665981. The reversal of 669672476665920 is 29566674276966.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×669672476665920² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 669672476665920.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 416722137757 + ... + 416722139363.

It is an arithmetic number, because the mean of its divisors is an integer number (762673242240).

Almost surely, 2^{669672476665920} is an apocalyptic number.

669672476665920 is a gapful number since it is divisible by the number (60) 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 669672476665920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537549256355840).

669672476665920 is an abundant number, since it is smaller than the sum of its proper divisors (2405426036045760).

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

669672476665920 is a wasteful number, since it uses less digits than its factorization.

669672476665920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892 (or 1863 counting only the distinct ones).

The product of its (nonzero) digits is 14814213120, while the sum is 81.

The spelling of 669672476665920 in words is "six hundred sixty-nine trillion, six hundred seventy-two billion, four hundred seventy-six million, six hundred sixty-five thousand, nine hundred twenty".