672250258944 has 1440 divisors, whose sum is σ = 2445143500800. Its totient is φ = 176637542400.

The previous prime is 672250258907. The next prime is 672250258969. The reversal of 672250258944 is 449852052276.

672250258944 is a `hidden beast` number, since 6 + 7 + 2 + 2 + 50 + 2 + 589 + 4 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7553373652 + ... + 7553373740.

It is an arithmetic number, because the mean of its divisors is an integer number (1698016320).

Almost surely, 2^672250258944 is an apocalyptic number.

672250258944 is a gapful number since it is divisible by the number (64) 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 672250258944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222571750400).

672250258944 is an abundant number, since it is smaller than the sum of its proper divisors (1772893241856).

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

672250258944 is a wasteful number, since it uses less digits than its factorization.

672250258944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 672250258944 in words is "six hundred seventy-two billion, two hundred fifty million, two hundred fifty-eight thousand, nine hundred forty-four".