6345813196800 has 3264 divisors, whose sum is σ = 30706097541120. Its totient is φ = 1261279641600.

The previous prime is 6345813196787. The next prime is 6345813196817. The reversal of 6345813196800 is 86913185436.

6345813196800 is a `hidden beast` number, since 6 + 345 + 8 + 131 + 96 + 80 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 275904921589 + ... + 275904921611.

Almost surely, 2^{6345813196800} is an apocalyptic number.

6345813196800 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 6345813196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15353048770560).

6345813196800 is an abundant number, since it is smaller than the sum of its proper divisors (24360284344320).

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

6345813196800 is an frugal number, since it uses more digits than its factorization.

6345813196800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 6345813196800 in words is "six trillion, three hundred forty-five billion, eight hundred thirteen million, one hundred ninety-six thousand, eight hundred".