882945630720 has 240 divisors, whose sum is σ = 3156533183232. Its totient is φ = 227856752640.

The previous prime is 882945630643. The next prime is 882945630733. The reversal of 882945630720 is 27036549288.

882945630720 is a `hidden beast` number, since 8 + 8 + 2 + 9 + 4 + 563 + 0 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96139 + ... + 1332341.

Almost surely, 2^882945630720 is an apocalyptic number.

882945630720 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 882945630720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578266591616).

882945630720 is an abundant number, since it is smaller than the sum of its proper divisors (2273587552512).

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

882945630720 is a wasteful number, since it uses less digits than its factorization.

882945630720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236263 (or 1236244 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 882945630720 in words is "eight hundred eighty-two billion, nine hundred forty-five million, six hundred thirty thousand, seven hundred twenty".