6690866400 has 324 divisors, whose sum is σ = 24404516136. Its totient is φ = 1724889600.

The previous prime is 6690866393. The next prime is 6690866401. The reversal of 6690866400 is 46680966.

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 (6690866401) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 6918717 + ... + 6919683.

Almost surely, 2^6690866400 is an apocalyptic number.

6690866400 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 6690866400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12202258068).

6690866400 is an abundant number, since it is smaller than the sum of its proper divisors (17713649736).

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

6690866400 is a wasteful number, since it uses less digits than its factorization.

6690866400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 6690866400 is about 81797.7163495412. The cubic root of 6690866400 is about 1884.3465899201.

The spelling of 6690866400 in words is "six billion, six hundred ninety million, eight hundred sixty-six thousand, four hundred".