6566630400 has 396 divisors, whose sum is σ = 25658964864. Its totient is φ = 1591296000.

The previous prime is 6566630351. The next prime is 6566630471. The reversal of 6566630400 is 40366656.

It is a tau number, because it is divible by the number of its divisors (396).

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

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 2533105 + ... + 2535695.

Almost surely, 2^6566630400 is an apocalyptic number.

6566630400 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 6566630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12829482432).

6566630400 is an abundant number, since it is smaller than the sum of its proper divisors (19092334464).

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

6566630400 is a wasteful number, since it uses less digits than its factorization.

6566630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2638 (or 2612 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 6566630400 is about 81034.7481022802. The cubic root of 6566630400 is about 1872.6108022179.

The spelling of 6566630400 in words is "six billion, five hundred sixty-six million, six hundred thirty thousand, four hundred".