6668697600 has 540 divisors, whose sum is σ = 25142512304. Its totient is φ = 1751777280.

The previous prime is 6668697509. The next prime is 6668697641. The reversal of 6668697600 is 67968666.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 99532767 + ... + 99532833.

Almost surely, 2^6668697600 is an apocalyptic number.

6668697600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6668697600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12571256152).

6668697600 is an abundant number, since it is smaller than the sum of its proper divisors (18473814704).

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

6668697600 is an frugal number, since it uses more digits than its factorization.

6668697600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 6668697600 is about 81662.0940216451. The cubic root of 6668697600 is about 1882.2631565018.

The spelling of 6668697600 in words is "six billion, six hundred sixty-eight million, six hundred ninety-seven thousand, six hundred".