672812712000 has 1344 divisors, whose sum is σ = 2859934791168. Its totient is φ = 148838400000.

The previous prime is 672812711981. The next prime is 672812712017. The reversal of 672812712000 is 217218276.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1039895677 + ... + 1039896323.

It is an arithmetic number, because the mean of its divisors is an integer number (2127927672).

Almost surely, 2^672812712000 is an apocalyptic number.

672812712000 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 672812712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429967395584).

672812712000 is an abundant number, since it is smaller than the sum of its proper divisors (2187122079168).

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

672812712000 is a wasteful number, since it uses less digits than its factorization.

672812712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 672812712000 in words is "six hundred seventy-two billion, eight hundred twelve million, seven hundred twelve thousand".