6015016800 has 576 divisors, whose sum is σ = 24218449920. Its totient is φ = 1430784000.

The previous prime is 6015016793. The next prime is 6015016849. The reversal of 6015016800 is 86105106.

6015016800 is a `hidden beast` number, since 601 + 50 + 1 + 6 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8704455 + ... + 8705145.

It is an arithmetic number, because the mean of its divisors is an integer number (42045920).

Almost surely, 2^6015016800 is an apocalyptic number.

6015016800 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 6015016800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12109224960).

6015016800 is an abundant number, since it is smaller than the sum of its proper divisors (18203433120).

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

6015016800 is a wasteful number, since it uses less digits than its factorization.

6015016800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 6015016800 is about 77556.5393761222. The cubic root of 6015016800 is about 1818.6352930101.

The spelling of 6015016800 in words is "six billion, fifteen million, sixteen thousand, eight hundred".