6066964800 has 630 divisors, whose sum is σ = 24235203498. Its totient is φ = 1488015360.

The previous prime is 6066964789. The next prime is 6066964823. The reversal of 6066964800 is 84696606.

It can be written as a sum of positive squares in 9 ways, for example, as 4837480704 + 1229484096 = 69552^2 + 35064^2 .

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 89 ways as a sum of consecutive naturals, for example, 21902262 + ... + 21902538.

Almost surely, 2^6066964800 is an apocalyptic number.

6066964800 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 6066964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12117601749).

6066964800 is an abundant number, since it is smaller than the sum of its proper divisors (18168238698).

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

6066964800 is a wasteful number, since it uses less digits than its factorization.

6066964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 300 counting only the distinct ones).

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

The square root of 6066964800 is about 77890.7234527964. The cubic root of 6066964800 is about 1823.8557711442.

The spelling of 6066964800 in words is "six billion, sixty-six million, nine hundred sixty-four thousand, eight hundred".