672282676800 has 1344 divisors, whose sum is σ = 2945485762560. Its totient is φ = 145835458560.

The previous prime is 672282676739. The next prime is 672282676817. The reversal of 672282676800 is 8676282276.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 191 ways as a sum of consecutive naturals, for example, 1133697304 + ... + 1133697896.

Almost surely, 2^672282676800 is an apocalyptic number.

672282676800 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 672282676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472742881280).

672282676800 is an abundant number, since it is smaller than the sum of its proper divisors (2273203085760).

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

672282676800 is a wasteful number, since it uses less digits than its factorization.

672282676800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 672282676800 in words is "six hundred seventy-two billion, two hundred eighty-two million, six hundred seventy-six thousand, eight hundred".