8833982791680 has 640 divisors, whose sum is σ = 33067861200000. Its totient is φ = 2231403282432.

The previous prime is 8833982791663. The next prime is 8833982791691. The reversal of 8833982791680 is 861972893388.

8833982791680 is a `hidden beast` number, since 8 + 8 + 3 + 398 + 2 + 79 + 168 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a junction number, because it is equal to n+sod(n) for n = 8833982791599 and 8833982791608.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1344795436 + ... + 1344802004.

It is an arithmetic number, because the mean of its divisors is an integer number (51668533125).

Almost surely, 2^{8833982791680} is an apocalyptic number.

8833982791680 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 8833982791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16533930600000).

8833982791680 is an abundant number, since it is smaller than the sum of its proper divisors (24233878408320).

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

8833982791680 is an frugal number, since it uses more digits than its factorization.

8833982791680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6640 (or 6598 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 8833982791680 in words is "eight trillion, eight hundred thirty-three billion, nine hundred eighty-two million, seven hundred ninety-one thousand, six hundred eighty".