672763291200 has 1512 divisors, whose sum is σ = 3235592394944. Its totient is φ = 129011097600.

The previous prime is 672763291099. The next prime is 672763291231. The reversal of 672763291200 is 2192367276.

672763291200 is a `hidden beast` number, since 6 + 7 + 2 + 7 + 632 + 9 + 1 + 2 + 0 + 0 = 666.

It is a super-2 number, since 2×672763291200² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 158556279 + ... + 158560521.

Almost surely, 2^672763291200 is an apocalyptic number.

672763291200 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 672763291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617796197472).

672763291200 is an abundant number, since it is smaller than the sum of its proper divisors (2562829103744).

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

672763291200 is a wasteful number, since it uses less digits than its factorization.

672763291200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4313 (or 4284 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 672763291200 in words is "six hundred seventy-two billion, seven hundred sixty-three million, two hundred ninety-one thousand, two hundred".