6669608400 has 360 divisors, whose sum is σ = 28488037760. Its totient is φ = 1407144960.

The previous prime is 6669608383. The next prime is 6669608441. The reversal of 6669608400 is 48069666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 317421 + ... + 337779.

Almost surely, 2^6669608400 is an apocalyptic number.

6669608400 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 6669608400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14244018880).

6669608400 is an abundant number, since it is smaller than the sum of its proper divisors (21818429360).

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

6669608400 is a wasteful number, since it uses less digits than its factorization.

6669608400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20403 (or 20389 counting only the distinct ones).

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

The square root of 6669608400 is about 81667.6704700214. The cubic root of 6669608400 is about 1882.3488447598.

The spelling of 6669608400 in words is "six billion, six hundred sixty-nine million, six hundred eight thousand, four hundred".