7516164096 has 624 divisors, whose sum is σ = 27639710400. Its totient is φ = 2006581248.

The previous prime is 7516164079. The next prime is 7516164107. The reversal of 7516164096 is 6904616157.

7516164096 is a `hidden beast` number, since 7 + 516 + 1 + 6 + 40 + 96 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102961116 + ... + 102961188.

Almost surely, 2^7516164096 is an apocalyptic number.

7516164096 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7516164096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13819855200).

7516164096 is an abundant number, since it is smaller than the sum of its proper divisors (20123546304).

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

7516164096 is a wasteful number, since it uses less digits than its factorization.

7516164096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 7516164096 is about 86695.8136013499. The cubic root of 7516164096 is about 1958.8390403599.

The spelling of 7516164096 in words is "seven billion, five hundred sixteen million, one hundred sixty-four thousand, ninety-six".