8831479680 has 512 divisors, whose sum is σ = 33860736000. Its totient is φ = 2167824384.

The previous prime is 8831479673. The next prime is 8831479697. The reversal of 8831479680 is 869741388.

8831479680 is a `hidden beast` number, since 88 + 31 + 479 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12147477 + ... + 12148203.

It is an arithmetic number, because the mean of its divisors is an integer number (66134250).

Almost surely, 2^8831479680 is an apocalyptic number.

8831479680 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 8831479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16930368000).

8831479680 is an abundant number, since it is smaller than the sum of its proper divisors (25029256320).

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

8831479680 is a wasteful number, since it uses less digits than its factorization.

8831479680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 8831479680 is about 93975.9526687546. The cubic root of 8831479680 is about 2067.0191078889.

The spelling of 8831479680 in words is "eight billion, eight hundred thirty-one million, four hundred seventy-nine thousand, six hundred eighty".