7666813056 has 256 divisors, whose sum is σ = 24499584000. Its totient is φ = 2077888512.

The previous prime is 7666812991. The next prime is 7666813073. The reversal of 7666813056 is 6503186667.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 7666812996 and 7666813014.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4598335 + ... + 4600001.

It is an arithmetic number, because the mean of its divisors is an integer number (95701500).

Almost surely, 2^7666813056 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 7666813056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12249792000).

7666813056 is an abundant number, since it is smaller than the sum of its proper divisors (16832770944).

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

7666813056 is a wasteful number, since it uses less digits than its factorization.

7666813056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 7666813056 is about 87560.3395151024. The cubic root of 7666813056 is about 1971.8397833482.

The spelling of 7666813056 in words is "seven billion, six hundred sixty-six million, eight hundred thirteen thousand, fifty-six".