672585585276 has 72 divisors (see below), whose sum is σ = 1725244814160. Its totient is φ = 203785598720.

The previous prime is 672585585271. The next prime is 672585585283.

672585585276 is nontrivially palindromic in base 10.

672585585276 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672585585271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12019330 + ... + 12075158.

It is an arithmetic number, because the mean of its divisors is an integer number (23961733530).

Almost surely, 2^672585585276 is an apocalyptic number.

672585585276 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

672585585276 is an abundant number, since it is smaller than the sum of its proper divisors (1052659228884).

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

672585585276 is a wasteful number, since it uses less digits than its factorization.

672585585276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64155 (or 64142 counting only the distinct ones).

The product of its digits is 282240000, while the sum is 66.

The spelling of 672585585276 in words is "six hundred seventy-two billion, five hundred eighty-five million, five hundred eighty-five thousand, two hundred seventy-six".