879627363552 has 180 divisors, whose sum is σ = 2918175689520. Its totient is φ = 251321906304.

The previous prime is 879627363539. The next prime is 879627363553. The reversal of 879627363552 is 255363726978.

It is a happy number.

879627363552 is a `hidden beast` number, since 8 + 7 + 9 + 6 + 2 + 73 + 6 + 3 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 879627363552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (879627363553) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 55449 + ... + 1327527.

It is an arithmetic number, because the mean of its divisors is an integer number (16212087164).

Almost surely, 2^879627363552 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 879627363552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459087844760).

879627363552 is an abundant number, since it is smaller than the sum of its proper divisors (2038548325968).

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

879627363552 is a wasteful number, since it uses less digits than its factorization.

879627363552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272123 (or 1272091 counting only the distinct ones).

The product of its digits is 114307200, while the sum is 63.

The spelling of 879627363552 in words is "eight hundred seventy-nine billion, six hundred twenty-seven million, three hundred sixty-three thousand, five hundred fifty-two".