672311612800 has 192 divisors, whose sum is σ = 1705596459840. Its totient is φ = 261738086400.

The previous prime is 672311612743. The next prime is 672311612803. The reversal of 672311612800 is 8216113276.

It is a self number, because there is not a number n which added to its sum of digits gives 672311612800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672311612803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27210052 + ... + 27234748.

It is an arithmetic number, because the mean of its divisors is an integer number (8883314895).

Almost surely, 2^672311612800 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 672311612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852798229920).

672311612800 is an abundant number, since it is smaller than the sum of its proper divisors (1033284847040).

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

672311612800 is a wasteful number, since it uses less digits than its factorization.

672311612800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24949 (or 24932 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The spelling of 672311612800 in words is "six hundred seventy-two billion, three hundred eleven million, six hundred twelve thousand, eight hundred".