7591601160 has 768 divisors, whose sum is σ = 30795448320. Its totient is φ = 1596672000.

The previous prime is 7591601159. The next prime is 7591601161. The reversal of 7591601160 is 611061957.

It is a happy number.

7591601160 is a `hidden beast` number, since 7 + 591 + 6 + 0 + 1 + 1 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (7591601159) and next prime (7591601161).

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 (7591601161) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 106923925 + ... + 106923995.

It is an arithmetic number, because the mean of its divisors is an integer number (40098240).

Almost surely, 2^7591601160 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 7591601160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15397724160).

7591601160 is an abundant number, since it is smaller than the sum of its proper divisors (23203847160).

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

7591601160 is a wasteful number, since it uses less digits than its factorization.

7591601160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 7591601160 is about 87129.7949039248. The cubic root of 7591601160 is about 1965.3706272133.

The spelling of 7591601160 in words is "seven billion, five hundred ninety-one million, six hundred one thousand, one hundred sixty".