6132833812800 has 504 divisors, whose sum is σ = 22699993655040. Its totient is φ = 1568647987200.

The previous prime is 6132833812757. The next prime is 6132833812823. The reversal of 6132833812800 is 82183382316.

6132833812800 is a `hidden beast` number, since 6 + 1 + 32 + 8 + 338 + 1 + 280 + 0 = 666.

It is a super-2 number, since 2×6132833812800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 71 ways as a sum of consecutive naturals, for example, 50382411 + ... + 50503989.

Almost surely, 2^{6132833812800} is an apocalyptic number.

6132833812800 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 6132833812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11349996827520).

6132833812800 is an abundant number, since it is smaller than the sum of its proper divisors (16567159842240).

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

6132833812800 is a wasteful number, since it uses less digits than its factorization.

6132833812800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121751 (or 121733 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 6132833812800 in words is "six trillion, one hundred thirty-two billion, eight hundred thirty-three million, eight hundred twelve thousand, eight hundred".