7819616564 has 24 divisors (see below), whose sum is σ = 14075181120. Its totient is φ = 3799079424.

The previous prime is 7819616561. The next prime is 7819616617. The reversal of 7819616564 is 4656169187.

It is a super-2 number, since 2×7819616564² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7819616561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84584 + ... + 150975.

It is an arithmetic number, because the mean of its divisors is an integer number (586465880).

Almost surely, 2^7819616564 is an apocalyptic number.

It is an amenable number.

7819616564 is a deficient number, since it is larger than the sum of its proper divisors (6255564556).

7819616564 is a wasteful number, since it uses less digits than its factorization.

7819616564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235799 (or 235797 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 53.

The square root of 7819616564 is about 88428.5958499851. The cubic root of 7819616564 is about 1984.8536303065.

The spelling of 7819616564 in words is "seven billion, eight hundred nineteen million, six hundred sixteen thousand, five hundred sixty-four".