8920337664 has 288 divisors, whose sum is σ = 29810350080. Its totient is φ = 2308939776.

The previous prime is 8920337593. The next prime is 8920337677. The reversal of 8920337664 is 4667330298.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2347414 + ... + 2351210.

It is an arithmetic number, because the mean of its divisors is an integer number (103508160).

Almost surely, 2^8920337664 is an apocalyptic number.

8920337664 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 8920337664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14905175040).

8920337664 is an abundant number, since it is smaller than the sum of its proper divisors (20890012416).

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

8920337664 is a wasteful number, since it uses less digits than its factorization.

8920337664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3865 (or 3851 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The square root of 8920337664 is about 94447.5392162231. The cubic root of 8920337664 is about 2073.9284282983.

The spelling of 8920337664 in words is "eight billion, nine hundred twenty million, three hundred thirty-seven thousand, six hundred sixty-four".