8613031680 has 648 divisors, whose sum is σ = 33842311776. Its totient is φ = 2019409920.

The previous prime is 8613031621. The next prime is 8613031711. The reversal of 8613031680 is 861303168.

8613031680 is a `hidden beast` number, since 8 + 613 + 0 + 31 + 6 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 51574957 + ... + 51575123.

Almost surely, 2^8613031680 is an apocalyptic number.

8613031680 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 8613031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16921155888).

8613031680 is an abundant number, since it is smaller than the sum of its proper divisors (25229280096).

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

8613031680 is a wasteful number, since it uses less digits than its factorization.

8613031680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 8613031680 is about 92806.4204675517. The cubic root of 8613031680 is about 2049.8339488741.

The spelling of 8613031680 in words is "eight billion, six hundred thirteen million, thirty-one thousand, six hundred eighty".