8015304960 has 648 divisors, whose sum is σ = 31510140480. Its totient is φ = 1876672512.

The previous prime is 8015304923. The next prime is 8015304967. The reversal of 8015304960 is 694035108.

8015304960 is a `hidden beast` number, since 80 + 1 + 530 + 49 + 6 + 0 = 666.

It is a super-2 number, since 2×8015304960² (a number of 21 digits) contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (8015304967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44778151 + ... + 44778329.

It is an arithmetic number, because the mean of its divisors is an integer number (48626760).

Almost surely, 2^8015304960 is an apocalyptic number.

8015304960 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 8015304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15755070240).

8015304960 is an abundant number, since it is smaller than the sum of its proper divisors (23494835520).

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

8015304960 is a wasteful number, since it uses less digits than its factorization.

8015304960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 8015304960 is about 89528.2355461114. The cubic root of 8015304960 is about 2001.2746008571.

The spelling of 8015304960 in words is "eight billion, fifteen million, three hundred four thousand, nine hundred sixty".