8015967360 has 576 divisors, whose sum is σ = 30354367680. Its totient is φ = 2020018176.

The previous prime is 8015967319. The next prime is 8015967373. The reversal of 8015967360 is 637695108.

It is a happy number.

8015967360 is a `hidden beast` number, since 80 + 159 + 67 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 96577879 + ... + 96577961.

It is an arithmetic number, because the mean of its divisors is an integer number (52698555).

Almost surely, 2^8015967360 is an apocalyptic number.

8015967360 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 8015967360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15177183840).

8015967360 is an abundant number, since it is smaller than the sum of its proper divisors (22338400320).

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

8015967360 is an frugal number, since it uses more digits than its factorization.

8015967360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 8015967360 is about 89531.9348612550. The cubic root of 8015967360 is about 2001.3297290477.

The spelling of 8015967360 in words is "eight billion, fifteen million, nine hundred sixty-seven thousand, three hundred sixty".