7815797649 has 135 divisors (see below), whose sum is σ = 13838644281. Its totient is φ = 4392059760.

The previous prime is 7815797641. The next prime is 7815797657. The reversal of 7815797649 is 9467975187.

The square root of 7815797649 is 88407.

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

It is an interprime number because it is at equal distance from previous prime (7815797641) and next prime (7815797657).

It is not a de Polignac number, because 7815797649 - 2³ = 7815797641 is a prime.

It is a super-2 number, since 2×7815797649² (a number of 21 digits) contains 22 as substring.

Its product of digits (26671680) is a multiple of the sum of its prime divisors (80).

It is not an unprimeable number, because it can be changed into a prime (7815797641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 166293544 + ... + 166293590.

Almost surely, 2^7815797649 is an apocalyptic number.

7815797649 is the 88407-th square number.

7815797649 is the 44204-th centered octagonal number.

It is an amenable number.

7815797649 is a deficient number, since it is larger than the sum of its proper divisors (6022846632).

7815797649 is a wasteful number, since it uses less digits than its factorization.

7815797649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 80 counting only the distinct ones).

The product of its digits is 26671680, while the sum is 63.

The cubic root of 7815797649 is about 1984.5304592346.

The spelling of 7815797649 in words is "seven billion, eight hundred fifteen million, seven hundred ninety-seven thousand, six hundred forty-nine".