878729330640 has 640 divisors, whose sum is σ = 3251723304960. Its totient is φ = 192087705600.

The previous prime is 878729330617. The next prime is 878729330669. The reversal of 878729330640 is 46033927878.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2825496085 + ... + 2825496395.

It is an arithmetic number, because the mean of its divisors is an integer number (5080817664).

Almost surely, 2^878729330640 is an apocalyptic number.

878729330640 is a gapful number since it is divisible by the number (80) 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 878729330640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625861652480).

878729330640 is an abundant number, since it is smaller than the sum of its proper divisors (2372993974320).

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

878729330640 is a wasteful number, since it uses less digits than its factorization.

878729330640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 57.

The spelling of 878729330640 in words is "eight hundred seventy-eight billion, seven hundred twenty-nine million, three hundred thirty thousand, six hundred forty".