6097202968320 has 2016 divisors, whose sum is σ = 23834794765824. Its totient is φ = 1490603212800.

The previous prime is 6097202968291. The next prime is 6097202968333. The reversal of 6097202968320 is 238692027906.

It is a happy number.

6097202968320 is a `hidden beast` number, since 6 + 0 + 9 + 7 + 20 + 296 + 8 + 320 = 666.

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 (23) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 62857762512 + ... + 62857762608.

It is an arithmetic number, because the mean of its divisors is an integer number (11822814864).

Almost surely, 2^{6097202968320} is an apocalyptic number.

6097202968320 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 6097202968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11917397382912).

6097202968320 is an abundant number, since it is smaller than the sum of its proper divisors (17737591797504).

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

6097202968320 is an equidigital number, since it uses as much as digits as its factorization.

6097202968320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 6097202968320 in words is "six trillion, ninety-seven billion, two hundred two million, nine hundred sixty-eight thousand, three hundred twenty".