672788599560 has 768 divisors, whose sum is σ = 2870547724800. Its totient is φ = 137152604160.

The previous prime is 672788599501. The next prime is 672788599597. The reversal of 672788599560 is 65995887276.

672788599560 is a `hidden beast` number, since 6 + 7 + 2 + 7 + 8 + 8 + 59 + 9 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 48475342 + ... + 48489218.

It is an arithmetic number, because the mean of its divisors is an integer number (3737692350).

Almost surely, 2^672788599560 is an apocalyptic number.

672788599560 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 672788599560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435273862400).

672788599560 is an abundant number, since it is smaller than the sum of its proper divisors (2197759125240).

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

672788599560 is a wasteful number, since it uses less digits than its factorization.

672788599560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13979 (or 13958 counting only the distinct ones).

The product of its (nonzero) digits is 457228800, while the sum is 72.

The spelling of 672788599560 in words is "six hundred seventy-two billion, seven hundred eighty-eight million, five hundred ninety-nine thousand, five hundred sixty".