672339967200 has 864 divisors, whose sum is σ = 2690827776000. Its totient is φ = 156473856000.

The previous prime is 672339967199. The next prime is 672339967207. The reversal of 672339967200 is 2769933276.

672339967200 is a `hidden beast` number, since 67 + 233 + 99 + 67 + 200 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672339967207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 457062465 + ... + 457063935.

It is an arithmetic number, because the mean of its divisors is an integer number (3114384000).

Almost surely, 2^672339967200 is an apocalyptic number.

672339967200 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 672339967200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345413888000).

672339967200 is an abundant number, since it is smaller than the sum of its proper divisors (2018487808800).

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

672339967200 is a wasteful number, since it uses less digits than its factorization.

672339967200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1736 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 54.

The spelling of 672339967200 in words is "six hundred seventy-two billion, three hundred thirty-nine million, nine hundred sixty-seven thousand, two hundred".