8631221004 has 288 divisors, whose sum is σ = 26968195072. Its totient is φ = 2361960000.

The previous prime is 8631220993. The next prime is 8631221041. The reversal of 8631221004 is 4001221368.

8631221004 is a `hidden beast` number, since 8 + 631 + 2 + 21 + 0 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31849389 + ... + 31849659.

Almost surely, 2^8631221004 is an apocalyptic number.

8631221004 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 8631221004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13484097536).

8631221004 is an abundant number, since it is smaller than the sum of its proper divisors (18336974068).

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

8631221004 is a wasteful number, since it uses less digits than its factorization.

8631221004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8631221004 is about 92904.3648274934. The cubic root of 8631221004 is about 2051.2759064136.

The spelling of 8631221004 in words is "eight billion, six hundred thirty-one million, two hundred twenty-one thousand, four".