672463402800 has 960 divisors, whose sum is σ = 2603833344000. Its totient is φ = 145126195200.

The previous prime is 672463402799. The next prime is 672463402837. The reversal of 672463402800 is 8204364276.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 3520750705 + ... + 3520750895.

It is an arithmetic number, because the mean of its divisors is an integer number (2712326400).

Almost surely, 2^672463402800 is an apocalyptic number.

672463402800 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 672463402800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301916672000).

672463402800 is an abundant number, since it is smaller than the sum of its proper divisors (1931369941200).

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

672463402800 is a wasteful number, since it uses less digits than its factorization.

672463402800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The spelling of 672463402800 in words is "six hundred seventy-two billion, four hundred sixty-three million, four hundred two thousand, eight hundred".