672760704 has 256 divisors, whose sum is σ = 2270568960. Its totient is φ = 171417600.

The previous prime is 672760691. The next prime is 672760709. The reversal of 672760704 is 407067276.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672760709) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1803462 + ... + 1803834.

It is an arithmetic number, because the mean of its divisors is an integer number (8869410).

Almost surely, 2^672760704 is an apocalyptic number.

672760704 is a gapful number since it is divisible by the number (64) 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 672760704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135284480).

672760704 is an abundant number, since it is smaller than the sum of its proper divisors (1597808256).

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

672760704 is a wasteful number, since it uses less digits than its factorization.

672760704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 39.

The square root of 672760704 is about 25937.6310406328. The cubic root of 672760704 is about 876.2342110555.

The spelling of 672760704 in words is "six hundred seventy-two million, seven hundred sixty thousand, seven hundred four".