8073137160 has 640 divisors, whose sum is σ = 31331836800. Its totient is φ = 1846333440.

The previous prime is 8073137141. The next prime is 8073137167. The reversal of 8073137160 is 617313708.

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 (8073137167) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 75449827 + ... + 75449933.

It is an arithmetic number, because the mean of its divisors is an integer number (48955995).

Almost surely, 2^8073137160 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 8073137160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15665918400).

8073137160 is an abundant number, since it is smaller than the sum of its proper divisors (23258699640).

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

8073137160 is a wasteful number, since it uses less digits than its factorization.

8073137160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 8073137160 is about 89850.6380611735. The cubic root of 8073137160 is about 2006.0762840242.

The spelling of 8073137160 in words is "eight billion, seventy-three million, one hundred thirty-seven thousand, one hundred sixty".