879722408448 has 640 divisors, whose sum is σ = 3047538278400. Its totient is φ = 248135270400.

The previous prime is 879722408443. The next prime is 879722408459. The reversal of 879722408448 is 844804227978.

879722408448 is a `hidden beast` number, since 87 + 9 + 72 + 2 + 40 + 8 + 448 = 666.

It is not an unprimeable number, because it can be changed into a prime (879722408443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105846213 + ... + 105854523.

It is an arithmetic number, because the mean of its divisors is an integer number (4761778560).

Almost surely, 2^879722408448 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 879722408448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523769139200).

879722408448 is an abundant number, since it is smaller than the sum of its proper divisors (2167815869952).

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

879722408448 is a wasteful number, since it uses less digits than its factorization.

879722408448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8401 (or 8379 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 63.

The spelling of 879722408448 in words is "eight hundred seventy-nine billion, seven hundred twenty-two million, four hundred eight thousand, four hundred forty-eight".