7666704000 has 256 divisors, whose sum is σ = 28240617600. Its totient is φ = 2044339200.

The previous prime is 7666703999. The next prime is 7666704043. The reversal of 7666704000 is 4076667.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 423127 + ... + 440873.

Almost surely, 2^7666704000 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 7666704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14120308800).

7666704000 is an abundant number, since it is smaller than the sum of its proper divisors (20573913600).

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

7666704000 is a wasteful number, since it uses less digits than its factorization.

7666704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17785 (or 17757 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 7666704000 is about 87559.7167651883. The cubic root of 7666704000 is about 1971.8304338755.

The spelling of 7666704000 in words is "seven billion, six hundred sixty-six million, seven hundred four thousand".