672872578560 has 2160 divisors, whose sum is σ = 3105332246016. Its totient is φ = 133437652992.

The previous prime is 672872578531. The next prime is 672872578597. The reversal of 672872578560 is 65875278276.

672872578560 is a `hidden beast` number, since 6 + 7 + 2 + 8 + 7 + 2 + 578 + 56 + 0 = 666.

It is a super-3 number, since 3×672872578560³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 215 ways as a sum of consecutive naturals, for example, 5298209217 + ... + 5298209343.

Almost surely, 2^672872578560 is an apocalyptic number.

672872578560 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 672872578560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552666123008).

672872578560 is an abundant number, since it is smaller than the sum of its proper divisors (2432459667456).

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

672872578560 is a wasteful number, since it uses less digits than its factorization.

672872578560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 79027200, while the sum is 63.

The spelling of 672872578560 in words is "six hundred seventy-two billion, eight hundred seventy-two million, five hundred seventy-eight thousand, five hundred sixty".