879729771648 has 512 divisors, whose sum is σ = 2910169866240. Its totient is φ = 229282578432.

The previous prime is 879729771647. The next prime is 879729771653. The reversal of 879729771648 is 846177927978.

It is a super-2 number, since 2×879729771648² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 879729771648.

It is not an unprimeable number, because it can be changed into a prime (879729771647) 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, 1359705661 + ... + 1359706307.

It is an arithmetic number, because the mean of its divisors is an integer number (5683925520).

Almost surely, 2^879729771648 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 879729771648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455084933120).

879729771648 is an abundant number, since it is smaller than the sum of its proper divisors (2030440094592).

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

879729771648 is a wasteful number, since it uses less digits than its factorization.

879729771648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1072 counting only the distinct ones).

The product of its digits is 597445632, while the sum is 75.

The spelling of 879729771648 in words is "eight hundred seventy-nine billion, seven hundred twenty-nine million, seven hundred seventy-one thousand, six hundred forty-eight".