672756480000 has 720 divisors, whose sum is σ = 2649256810200. Its totient is φ = 163061760000.

The previous prime is 672756479987. The next prime is 672756480041. The reversal of 672756480000 is 84657276.

672756480000 is a `hidden beast` number, since 6 + 7 + 2 + 7 + 564 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 126717346 + ... + 126722654.

Almost surely, 2^672756480000 is an apocalyptic number.

672756480000 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 672756480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1324628405100).

672756480000 is an abundant number, since it is smaller than the sum of its proper divisors (1976500330200).

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

672756480000 is a wasteful number, since it uses less digits than its factorization.

672756480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5368 (or 5330 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 672756480000 in words is "six hundred seventy-two billion, seven hundred fifty-six million, four hundred eighty thousand".