8662641984 has 448 divisors, whose sum is σ = 28090368000. Its totient is φ = 2609418240.

The previous prime is 8662641973. The next prime is 8662642039. The reversal of 8662641984 is 4891462668.

8662641984 is a `hidden beast` number, since 8 + 6 + 626 + 4 + 1 + 9 + 8 + 4 = 666.

It is a super-2 number, since 2×8662641984² (a number of 21 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (3981312) is a multiple of the sum of its prime factors (243).

It is a self number, because there is not a number n which added to its sum of digits gives 8662641984.

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, 97333012 + ... + 97333100.

Almost surely, 2^8662641984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8662641984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14045184000).

8662641984 is an abundant number, since it is smaller than the sum of its proper divisors (19427726016).

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

8662641984 is a wasteful number, since it uses less digits than its factorization.

8662641984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 227 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The square root of 8662641984 is about 93073.3151015907. The cubic root of 8662641984 is about 2053.7620376959.

The spelling of 8662641984 in words is "eight billion, six hundred sixty-two million, six hundred forty-one thousand, nine hundred eighty-four".