879368396544 has 288 divisors, whose sum is σ = 2864419084800. Its totient is φ = 263885783040.

The previous prime is 879368396527. The next prime is 879368396549. The reversal of 879368396544 is 445693863978.

879368396544 is a `hidden beast` number, since 8 + 79 + 3 + 6 + 8 + 3 + 9 + 6 + 544 = 666.

879368396544 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 (288).

It is a super-2 number, since 2×879368396544² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (879368396549) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7775152 + ... + 7887440.

It is an arithmetic number, because the mean of its divisors is an integer number (9945899600).

Almost surely, 2^879368396544 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 879368396544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432209542400).

879368396544 is an abundant number, since it is smaller than the sum of its proper divisors (1985050688256).

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

879368396544 is a wasteful number, since it uses less digits than its factorization.

879368396544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112428 (or 112408 counting only the distinct ones).

The product of its digits is 940584960, while the sum is 72.

The spelling of 879368396544 in words is "eight hundred seventy-nine billion, three hundred sixty-eight million, three hundred ninety-six thousand, five hundred forty-four".