6133697740800 has 1056 divisors, whose sum is σ = 25796641171200. Its totient is φ = 1399723130880.

The previous prime is 6133697740697. The next prime is 6133697740813. The reversal of 6133697740800 is 80477963316.

It is a super-3 number, since 3×6133697740800³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9909042891 + ... + 9909043509.

Almost surely, 2^{6133697740800} is an apocalyptic number.

6133697740800 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 6133697740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12898320585600).

6133697740800 is an abundant number, since it is smaller than the sum of its proper divisors (19662943430400).

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

6133697740800 is an frugal number, since it uses more digits than its factorization.

6133697740800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 6133697740800 in words is "six trillion, one hundred thirty-three billion, six hundred ninety-seven million, seven hundred forty thousand, eight hundred".