6397863058944 has 480 divisors, whose sum is σ = 22044496874400. Its totient is φ = 1826763079680.

The previous prime is 6397863058883. The next prime is 6397863058981. The reversal of 6397863058944 is 4498503687936.

6397863058944 is a `hidden beast` number, since 6 + 3 + 9 + 7 + 8 + 6 + 30 + 589 + 4 + 4 = 666.

It is a super-3 number, since 3×6397863058944³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1848557374 + ... + 1848560834.

It is an arithmetic number, because the mean of its divisors is an integer number (45926035155).

Almost surely, 2^{6397863058944} is an apocalyptic number.

6397863058944 is a gapful number since it is divisible by the number (64) 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 6397863058944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11022248437200).

6397863058944 is an abundant number, since it is smaller than the sum of its proper divisors (15646633815456).

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

6397863058944 is a wasteful number, since it uses less digits than its factorization.

6397863058944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6231 (or 6202 counting only the distinct ones).

The product of its (nonzero) digits is 940584960, while the sum is 72.

The spelling of 6397863058944 in words is "six trillion, three hundred ninety-seven billion, eight hundred sixty-three million, fifty-eight thousand, nine hundred forty-four".