672303452688 has 240 divisors, whose sum is σ = 2203593373696. Its totient is φ = 187339703040.

The previous prime is 672303452687. The next prime is 672303452783. The reversal of 672303452688 is 886254303276.

672303452688 is a `hidden beast` number, since 6 + 7 + 2 + 3 + 0 + 34 + 526 + 88 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (672303452687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29939481 + ... + 29961927.

Almost surely, 2^672303452688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 672303452688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101796686848).

672303452688 is an abundant number, since it is smaller than the sum of its proper divisors (1531289921008).

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

672303452688 is a wasteful number, since it uses less digits than its factorization.

672303452688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23202 (or 23193 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 672303452688 in words is "six hundred seventy-two billion, three hundred three million, four hundred fifty-two thousand, six hundred eighty-eight".