6096784800 has 576 divisors, whose sum is σ = 22476061440. Its totient is φ = 1427374080.

The previous prime is 6096784739. The next prime is 6096784819. The reversal of 6096784800 is 84876906.

It is a super-2 number, since 2×6096784800² = 74341569795022080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6096784800.

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, 68503156 + ... + 68503244.

It is an arithmetic number, because the mean of its divisors is an integer number (39020940).

Almost surely, 2^6096784800 is an apocalyptic number.

6096784800 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 6096784800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11238030720).

6096784800 is an abundant number, since it is smaller than the sum of its proper divisors (16379276640).

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

6096784800 is a wasteful number, since it uses less digits than its factorization.

6096784800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 6096784800 is about 78081.9108372740. The cubic root of 6096784800 is about 1826.8390593924.

The spelling of 6096784800 in words is "six billion, ninety-six million, seven hundred eighty-four thousand, eight hundred".