6397108683840 has 672 divisors, whose sum is σ = 25986963585024. Its totient is φ = 1413445386240.

The previous prime is 6397108683799. The next prime is 6397108683853. The reversal of 6397108683840 is 483868017936.

6397108683840 is a `hidden beast` number, since 6 + 3 + 97 + 108 + 68 + 384 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×6397108683840² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 610580682 + ... + 610591158.

Almost surely, 2^{6397108683840} is an apocalyptic number.

6397108683840 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 6397108683840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12993481792512).

6397108683840 is an abundant number, since it is smaller than the sum of its proper divisors (19589854901184).

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

6397108683840 is a wasteful number, since it uses less digits than its factorization.

6397108683840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11515 (or 11502 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 6397108683840 in words is "six trillion, three hundred ninety-seven billion, one hundred eight million, six hundred eighty-three thousand, eight hundred forty".