7953092160 has 448 divisors, whose sum is σ = 28615501824. Its totient is φ = 1857945600.

The previous prime is 7953092159. The next prime is 7953092197. The reversal of 7953092160 is 612903597.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23599512 + ... + 23599848.

It is an arithmetic number, because the mean of its divisors is an integer number (63873888).

Almost surely, 2^7953092160 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 7953092160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14307750912).

7953092160 is an abundant number, since it is smaller than the sum of its proper divisors (20662409664).

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

7953092160 is a wasteful number, since it uses less digits than its factorization.

7953092160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 42.

The square root of 7953092160 is about 89180.1107871032. The cubic root of 7953092160 is about 1996.0833482597.

The spelling of 7953092160 in words is "seven billion, nine hundred fifty-three million, ninety-two thousand, one hundred sixty".