8064313488 has 480 divisors, whose sum is σ = 29990937600. Its totient is φ = 1959552000.

The previous prime is 8064313483. The next prime is 8064313501. The reversal of 8064313488 is 8843134608.

8064313488 is a `hidden beast` number, since 80 + 64 + 31 + 3 + 488 = 666.

It is a super-2 number, since 2×8064313488² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (8064313483) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21277683 + ... + 21278061.

It is an arithmetic number, because the mean of its divisors is an integer number (62481120).

Almost surely, 2^8064313488 is an apocalyptic number.

8064313488 is a gapful number since it is divisible by the number (88) 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 8064313488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14995468800).

8064313488 is an abundant number, since it is smaller than the sum of its proper divisors (21926624112).

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

8064313488 is a wasteful number, since it uses less digits than its factorization.

8064313488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 8064313488 is about 89801.5227487819. The cubic root of 8064313488 is about 2005.3451592434.

The spelling of 8064313488 in words is "eight billion, sixty-four million, three hundred thirteen thousand, four hundred eighty-eight".