6055372800 has 432 divisors, whose sum is σ = 22991770620. Its totient is φ = 1517813760.

The previous prime is 6055372769. The next prime is 6055372819. The reversal of 6055372800 is 82735506.

It can be written as a sum of positive squares in 6 ways, for example, as 1526621184 + 4528751616 = 39072^2 + 67296^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 7833214 + ... + 7833986.

Almost surely, 2^6055372800 is an apocalyptic number.

6055372800 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 6055372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11495885310).

6055372800 is an abundant number, since it is smaller than the sum of its proper divisors (16936397820).

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

6055372800 is a wasteful number, since it uses less digits than its factorization.

6055372800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 6055372800 is about 77816.2759324809. The cubic root of 6055372800 is about 1822.6934317999.

The spelling of 6055372800 in words is "six billion, fifty-five million, three hundred seventy-two thousand, eight hundred".