8974663680 has 384 divisors, whose sum is σ = 31236602400. Its totient is φ = 2194145280.

The previous prime is 8974663679. The next prime is 8974663703. The reversal of 8974663680 is 863664798.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×8974663680² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 8974663680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 289505265 + ... + 289505295.

Almost surely, 2^8974663680 is an apocalyptic number.

8974663680 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 8974663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15618301200).

8974663680 is an abundant number, since it is smaller than the sum of its proper divisors (22261938720).

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

8974663680 is an equidigital number, since it uses as much as digits as its factorization.

8974663680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 57.

The square root of 8974663680 is about 94734.7015617825. The cubic root of 8974663680 is about 2078.1300748605.

The spelling of 8974663680 in words is "eight billion, nine hundred seventy-four million, six hundred sixty-three thousand, six hundred eighty".