6066446400 has 588 divisors, whose sum is σ = 25612295232. Its totient is φ = 1384750080.

The previous prime is 6066446383. The next prime is 6066446423. The reversal of 6066446400 is 46446606.

It is a happy number.

6066446400 is a `hidden beast` number, since 6 + 0 + 6 + 6 + 4 + 4 + 640 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 8164429 + ... + 8165171.

Almost surely, 2^6066446400 is an apocalyptic number.

6066446400 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 6066446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12806147616).

6066446400 is an abundant number, since it is smaller than the sum of its proper divisors (19545848832).

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

6066446400 is an equidigital number, since it uses as much as digits as its factorization.

6066446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 6066446400 is about 77887.3956426841. The cubic root of 6066446400 is about 1823.8038223915.

The spelling of 6066446400 in words is "six billion, sixty-six million, four hundred forty-six thousand, four hundred".