672887513088 has 672 divisors, whose sum is σ = 2359412030976. Its totient is φ = 187615346688.

The previous prime is 672887513041. The next prime is 672887513171. The reversal of 672887513088 is 880315788276.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 599186895 + ... + 599188017.

It is an arithmetic number, because the mean of its divisors is an integer number (3511029808).

Almost surely, 2^672887513088 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 672887513088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179706015488).

672887513088 is an abundant number, since it is smaller than the sum of its proper divisors (1686524517888).

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

672887513088 is an equidigital number, since it uses as much as digits as its factorization.

672887513088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 63.

The spelling of 672887513088 in words is "six hundred seventy-two billion, eight hundred eighty-seven million, five hundred thirteen thousand, eighty-eight".