6066921600 has 768 divisors, whose sum is σ = 24041318400. Its totient is φ = 1490227200.

The previous prime is 6066921593. The next prime is 6066921647. The reversal of 6066921600 is 61296606.

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 85449565 + ... + 85449635.

It is an arithmetic number, because the mean of its divisors is an integer number (31303800).

Almost surely, 2^6066921600 is an apocalyptic number.

6066921600 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 6066921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12020659200).

6066921600 is an abundant number, since it is smaller than the sum of its proper divisors (17974396800).

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

6066921600 is a wasteful number, since it uses less digits than its factorization.

6066921600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 6066921600 is about 77890.4461407174. The cubic root of 6066921600 is about 1823.8514421945.

The spelling of 6066921600 in words is "six billion, sixty-six million, nine hundred twenty-one thousand, six hundred".