6397706937600 has 1728 divisors, whose sum is σ = 27154262016000. Its totient is φ = 1458597888000.

The previous prime is 6397706937593. The next prime is 6397706937641. The reversal of 6397706937600 is 67396077936.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a congruent number.

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, 2666821201 + ... + 2666823599.

It is an arithmetic number, because the mean of its divisors is an integer number (15714272000).

Almost surely, 2^{6397706937600} is an apocalyptic number.

6397706937600 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 6397706937600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13577131008000).

6397706937600 is an abundant number, since it is smaller than the sum of its proper divisors (20756555078400).

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

6397706937600 is a wasteful number, since it uses less digits than its factorization.

6397706937600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2529 (or 2504 counting only the distinct ones).

The product of its (nonzero) digits is 54010152, while the sum is 63.

The spelling of 6397706937600 in words is "six trillion, three hundred ninety-seven billion, seven hundred six million, nine hundred thirty-seven thousand, six hundred".