672937920000 has 900 divisors, whose sum is σ = 2505436113180. Its totient is φ = 173813760000.

The previous prime is 672937919977. The next prime is 672937920023. The reversal of 672937920000 is 29739276.

It is a happy number.

672937920000 is a `hidden beast` number, since 6 + 72 + 9 + 379 + 200 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (672937919977) and next prime (672937920023).

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 4841279931 + ... + 4841280069.

Almost surely, 2^672937920000 is an apocalyptic number.

672937920000 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 672937920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252718056590).

672937920000 is an abundant number, since it is smaller than the sum of its proper divisors (1832498193180).

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

672937920000 is an equidigital number, since it uses as much as digits as its factorization.

672937920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 672937920000 in words is "six hundred seventy-two billion, nine hundred thirty-seven million, nine hundred twenty thousand".