7668835920 has 80 divisors (see below), whose sum is σ = 26414886720. Its totient is φ = 2045022336.

The previous prime is 7668835913. The next prime is 7668835921. The reversal of 7668835920 is 295388667.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×7668835920² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7668835921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1773034 + ... + 1777353.

It is an arithmetic number, because the mean of its divisors is an integer number (330186084).

Almost surely, 2^7668835920 is an apocalyptic number.

It is an amenable number.

7668835920 is an abundant number, since it is smaller than the sum of its proper divisors (18746050800).

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

7668835920 is a wasteful number, since it uses less digits than its factorization.

7668835920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3550409 (or 3550397 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 7668835920 is about 87571.8900104366. The cubic root of 7668835920 is about 1972.0131892961.

The spelling of 7668835920 in words is "seven billion, six hundred sixty-eight million, eight hundred thirty-five thousand, nine hundred twenty".