7541116264 has 64 divisors (see below), whose sum is σ = 16264281600. Its totient is φ = 3241886400.

The previous prime is 7541116259. The next prime is 7541116291. The reversal of 7541116264 is 4626111457.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1078299 + ... + 1085269.

It is an arithmetic number, because the mean of its divisors is an integer number (254129400).

Almost surely, 2^7541116264 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 7541116264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8132140800).

7541116264 is an abundant number, since it is smaller than the sum of its proper divisors (8723165336).

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

7541116264 is a wasteful number, since it uses less digits than its factorization.

7541116264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7654 (or 7650 counting only the distinct ones).

The product of its digits is 40320, while the sum is 37.

The square root of 7541116264 is about 86839.6007821317. The cubic root of 7541116264 is about 1961.0042978911.

The spelling of 7541116264 in words is "seven billion, five hundred forty-one million, one hundred sixteen thousand, two hundred sixty-four".