879159536640 has 3696 divisors, whose sum is σ = 4407441880320. Its totient is φ = 165542952960.

The previous prime is 879159536573. The next prime is 879159536677. The reversal of 879159536640 is 46635951978.

879159536640 is a `hidden beast` number, since 8 + 7 + 9 + 1 + 59 + 536 + 6 + 40 = 666.

879159536640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3696).

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 335 ways as a sum of consecutive naturals, for example, 38224327669 + ... + 38224327691.

Almost surely, 2^879159536640 is an apocalyptic number.

879159536640 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 879159536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2203720940160).

879159536640 is an abundant number, since it is smaller than the sum of its proper divisors (3528282343680).

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

879159536640 is a wasteful number, since it uses less digits than its factorization.

879159536640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 879159536640 in words is "eight hundred seventy-nine billion, one hundred fifty-nine million, five hundred thirty-six thousand, six hundred forty".