6199431940800 has 2520 divisors, whose sum is σ = 27696761929200. Its totient is φ = 1362176040960.

The previous prime is 6199431940753. The next prime is 6199431940811. The reversal of 6199431940800 is 80491349916.

It is a happy number.

6199431940800 is a `hidden beast` number, since 6 + 1 + 99 + 431 + 9 + 40 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a super-2 number, since 2×6199431940800² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 27071755086 + ... + 27071755314.

Almost surely, 2^{6199431940800} is an apocalyptic number.

6199431940800 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 6199431940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13848380964600).

6199431940800 is an abundant number, since it is smaller than the sum of its proper divisors (21497329988400).

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

6199431940800 is an equidigital number, since it uses as much as digits as its factorization.

6199431940800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 6199431940800 in words is "six trillion, one hundred ninety-nine billion, four hundred thirty-one million, nine hundred forty thousand, eight hundred".