8668041984 has 540 divisors, whose sum is σ = 31719303000. Its totient is φ = 2341011456.

The previous prime is 8668041979. The next prime is 8668042007. The reversal of 8668041984 is 4891408668.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8668041984.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 19304992 + ... + 19305440.

It is an arithmetic number, because the mean of its divisors is an integer number (58739450).

Almost surely, 2^8668041984 is an apocalyptic number.

8668041984 is a gapful number since it is divisible by the number (84) 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 8668041984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15859651500).

8668041984 is an abundant number, since it is smaller than the sum of its proper divisors (23051261016).

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

8668041984 is a wasteful number, since it uses less digits than its factorization.

8668041984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 8668041984 is about 93102.3199710942. The cubic root of 8668041984 is about 2054.1886978064.

The spelling of 8668041984 in words is "eight billion, six hundred sixty-eight million, forty-one thousand, nine hundred eighty-four".