672762126960 has 480 divisors, whose sum is σ = 2818687592448. Its totient is φ = 139704238080.

The previous prime is 672762126917. The next prime is 672762126977. The reversal of 672762126960 is 69621267276.

672762126960 is a `hidden beast` number, since 6 + 7 + 2 + 7 + 621 + 2 + 6 + 9 + 6 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 672762126897 and 672762126906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 117141849 + ... + 117147591.

Almost surely, 2^672762126960 is an apocalyptic number.

672762126960 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 672762126960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409343796224).

672762126960 is an abundant number, since it is smaller than the sum of its proper divisors (2145925465488).

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

672762126960 is a wasteful number, since it uses less digits than its factorization.

672762126960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7893 (or 7884 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 672762126960 in words is "six hundred seventy-two billion, seven hundred sixty-two million, one hundred twenty-six thousand, nine hundred sixty".