7577006116 has 27 divisors (see below), whose sum is σ = 13471123953. Its totient is φ = 3729050640.

The previous prime is 7577006111. The next prime is 7577006161. The reversal of 7577006116 is 6116007757.

The square root of 7577006116 is 87046.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 24700900 + 7552305216 = 4970^2 + 86904^2 .

It is a super-2 number, since 2×7577006116² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7577006111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12360226 + ... + 12360838.

Almost surely, 2^7577006116 is an apocalyptic number.

7577006116 is the 87046-th square number.

It is an amenable number.

7577006116 is a deficient number, since it is larger than the sum of its proper divisors (5894117837).

7577006116 is an frugal number, since it uses more digits than its factorization.

7577006116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1372 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 40.

The cubic root of 7577006116 is about 1964.1103277425.

The spelling of 7577006116 in words is "seven billion, five hundred seventy-seven million, six thousand, one hundred sixteen".