7666329600 has 432 divisors, whose sum is σ = 27883215360. Its totient is φ = 2012774400.

The previous prime is 7666329581. The next prime is 7666329607. The reversal of 7666329600 is 69236667.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7666329607) 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 35 ways as a sum of consecutive naturals, for example, 58521535 + ... + 58521665.

It is an arithmetic number, because the mean of its divisors is an integer number (64544480).

Almost surely, 2^7666329600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7666329600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13941607680).

7666329600 is an abundant number, since it is smaller than the sum of its proper divisors (20216885760).

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

7666329600 is a wasteful number, since it uses less digits than its factorization.

7666329600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 7666329600 is about 87557.5787696302. The cubic root of 7666329600 is about 1971.7983355391.

The spelling of 7666329600 in words is "seven billion, six hundred sixty-six million, three hundred twenty-nine thousand, six hundred".