883068875504640 has 1408 divisors, whose sum is σ = 3499174798295040. Its totient is φ = 209396971929600.

The previous prime is 883068875504617. The next prime is 883068875504689. The reversal of 883068875504640 is 46405578860388.

883068875504640 is a `hidden beast` number, since 8 + 8 + 3 + 0 + 6 + 8 + 8 + 7 + 550 + 4 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13711578679 + ... + 13711643081.

Almost surely, 2^{883068875504640} is an apocalyptic number.

883068875504640 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 883068875504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749587399147520).

883068875504640 is an abundant number, since it is smaller than the sum of its proper divisors (2616105922790400).

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

883068875504640 is a wasteful number, since it uses less digits than its factorization.

883068875504640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64646 (or 64622 counting only the distinct ones).

The product of its (nonzero) digits is 1238630400, while the sum is 72.

The spelling of 883068875504640 in words is "eight hundred eighty-three trillion, sixty-eight billion, eight hundred seventy-five million, five hundred four thousand, six hundred forty".