6406668800 has 120 divisors (see below), whose sum is σ = 18140850816. Its totient is φ = 2196541440.

The previous prime is 6406668799. The next prime is 6406668803. The reversal of 6406668800 is 88666046.

It is a super-2 number, since 2×6406668800² = 82090810225786880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6406668803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53849 + ... + 125351.

Almost surely, 2^6406668800 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 6406668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9070425408).

6406668800 is an abundant number, since it is smaller than the sum of its proper divisors (11734182016).

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

6406668800 is an equidigital number, since it uses as much as digits as its factorization.

6406668800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71538 (or 71517 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 44.

The square root of 6406668800 is about 80041.6691480131. The cubic root of 6406668800 is about 1857.2801809980.

The spelling of 6406668800 in words is "six billion, four hundred six million, six hundred sixty-eight thousand, eight hundred".