867879928320 has 640 divisors, whose sum is σ = 2979520727040. Its totient is φ = 215026237440.

The previous prime is 867879928309. The next prime is 867879928339. The reversal of 867879928320 is 23829978768.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2326755654 + ... + 2326756026.

It is an arithmetic number, because the mean of its divisors is an integer number (4655501136).

Almost surely, 2^867879928320 is an apocalyptic number.

867879928320 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 867879928320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489760363520).

867879928320 is an abundant number, since it is smaller than the sum of its proper divisors (2111640798720).

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

867879928320 is a wasteful number, since it uses less digits than its factorization.

867879928320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 69.

The spelling of 867879928320 in words is "eight hundred sixty-seven billion, eight hundred seventy-nine million, nine hundred twenty-eight thousand, three hundred twenty".