672707167685280 has 4608 divisors, whose sum is σ = 3154833780940800. Its totient is φ = 130599200489472.

The previous prime is 672707167685251. The next prime is 672707167685303. The reversal of 672707167685280 is 82586761707276.

672707167685280 is a `hidden beast` number, since 6 + 7 + 27 + 0 + 7 + 1 + 6 + 76 + 8 + 528 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 672707167685199 and 672707167685208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 948811237566 + ... + 948811238274.

It is an arithmetic number, because the mean of its divisors is an integer number (684642747600).

Almost surely, 2^{672707167685280} is an apocalyptic number.

672707167685280 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 672707167685280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577416890470400).

672707167685280 is an abundant number, since it is smaller than the sum of its proper divisors (2482126613255520).

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

672707167685280 is a wasteful number, since it uses less digits than its factorization.

672707167685280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 663828480, while the sum is 72.

The spelling of 672707167685280 in words is "six hundred seventy-two trillion, seven hundred seven billion, one hundred sixty-seven million, six hundred eighty-five thousand, two hundred eighty".