7664501160 has 192 divisors, whose sum is σ = 26005009680. Its totient is φ = 1955819520.

The previous prime is 7664501149. The next prime is 7664501161. The reversal of 7664501160 is 611054667.

7664501160 is a `hidden beast` number, since 7 + 6 + 645 + 0 + 1 + 1 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3486430116 + 4178071044 = 59046^2 + 64638^2 .

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 (7664501161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 807804 + ... + 817236.

Almost surely, 2^7664501160 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 7664501160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13002504840).

7664501160 is an abundant number, since it is smaller than the sum of its proper divisors (18340508520).

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

7664501160 is a wasteful number, since it uses less digits than its factorization.

7664501160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9548 (or 9541 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 7664501160 is about 87547.1367892748. The cubic root of 7664501160 is about 1971.6415633591.

The spelling of 7664501160 in words is "seven billion, six hundred sixty-four million, five hundred one thousand, one hundred sixty".