882704664000 has 672 divisors, whose sum is σ = 3315178414080. Its totient is φ = 223900416000.

The previous prime is 882704663989. The next prime is 882704664013. The reversal of 882704664000 is 466407288.

882704664000 is a `hidden beast` number, since 8 + 82 + 70 + 466 + 40 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 131684649 + ... + 131691351.

Almost surely, 2^882704664000 is an apocalyptic number.

882704664000 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 882704664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657589207040).

882704664000 is an abundant number, since it is smaller than the sum of its proper divisors (2432473750080).

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

882704664000 is a wasteful number, since it uses less digits than its factorization.

882704664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6826 (or 6803 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 882704664000 in words is "eight hundred eighty-two billion, seven hundred four million, six hundred sixty-four thousand".