7668550800 has 120 divisors (see below), whose sum is σ = 27294398880. Its totient is φ = 2044944000.

The previous prime is 7668550789. The next prime is 7668550801. The reversal of 7668550800 is 80558667.

7668550800 is a `hidden beast` number, since 7 + 66 + 85 + 508 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7668550801) 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 23 ways as a sum of consecutive naturals, for example, 344226 + ... + 365825.

It is an arithmetic number, because the mean of its divisors is an integer number (227453324).

Almost surely, 2^7668550800 is an apocalyptic number.

It is an amenable number.

7668550800 is an abundant number, since it is smaller than the sum of its proper divisors (19625848080).

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

7668550800 is a wasteful number, since it uses less digits than its factorization.

7668550800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710078 (or 710061 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 7668550800 is about 87570.2620756613. The cubic root of 7668550800 is about 1971.9887498038.

The spelling of 7668550800 in words is "seven billion, six hundred sixty-eight million, five hundred fifty thousand, eight hundred".