6064281600 has 288 divisors, whose sum is σ = 21596898960. Its totient is φ = 1492254720.

The previous prime is 6064281593. The next prime is 6064281647. The reversal of 6064281600 is 61824606.

It is a happy number.

It is a super-2 number, since 2×6064281600² = 73551022648197120000, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 1995282 + ... + 1998318.

Almost surely, 2^6064281600 is an apocalyptic number.

6064281600 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 6064281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10798449480).

6064281600 is an abundant number, since it is smaller than the sum of its proper divisors (15532617360).

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

6064281600 is a wasteful number, since it uses less digits than its factorization.

6064281600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3085 (or 3060 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 6064281600 is about 77873.4974172857. The cubic root of 6064281600 is about 1823.5868562590.

The spelling of 6064281600 in words is "six billion, sixty-four million, two hundred eighty-one thousand, six hundred".