882814795632 has 960 divisors, whose sum is σ = 3427613190144. Its totient is φ = 204957941760.

The previous prime is 882814795613. The next prime is 882814795721. The reversal of 882814795632 is 236597418288.

882814795632 is a `hidden beast` number, since 8 + 8 + 2 + 81 + 479 + 56 + 32 = 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 882814795632.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 680658408 + ... + 680659704.

Almost surely, 2^882814795632 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 882814795632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713806595072).

882814795632 is an abundant number, since it is smaller than the sum of its proper divisors (2544798394512).

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

882814795632 is a wasteful number, since it uses less digits than its factorization.

882814795632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 1517 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The spelling of 882814795632 in words is "eight hundred eighty-two billion, eight hundred fourteen million, seven hundred ninety-five thousand, six hundred thirty-two".