7864022160 has 160 divisors (see below), whose sum is σ = 27123264000. Its totient is φ = 2094280704.

The previous prime is 7864022147. The next prime is 7864022213. The reversal of 7864022160 is 612204687.

7864022160 is a `hidden beast` number, since 7 + 8 + 640 + 2 + 2 + 1 + 6 + 0 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 2004681 + ... + 2008599.

It is an arithmetic number, because the mean of its divisors is an integer number (169520400).

Almost surely, 2^7864022160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7864022160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13561632000).

7864022160 is an abundant number, since it is smaller than the sum of its proper divisors (19259241840).

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

7864022160 is a wasteful number, since it uses less digits than its factorization.

7864022160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4870 (or 4858 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 7864022160 is about 88679.3220542422. The cubic root of 7864022160 is about 1988.6036988351.

The spelling of 7864022160 in words is "seven billion, eight hundred sixty-four million, twenty-two thousand, one hundred sixty".