6397406680896 has 672 divisors, whose sum is σ = 24519204403200. Its totient is φ = 1544495247360.

The previous prime is 6397406680891. The next prime is 6397406680921. The reversal of 6397406680896 is 6980866047936.

6397406680896 is a `hidden beast` number, since 63 + 9 + 7 + 406 + 6 + 80 + 89 + 6 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6397406680891) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44590845 + ... + 44734083.

Almost surely, 2^{6397406680896} is an apocalyptic number.

6397406680896 is a gapful number since it is divisible by the number (66) 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 6397406680896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12259602201600).

6397406680896 is an abundant number, since it is smaller than the sum of its proper divisors (18121797722304).

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

6397406680896 is a wasteful number, since it uses less digits than its factorization.

6397406680896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143347 (or 143334 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 72.

The spelling of 6397406680896 in words is "six trillion, three hundred ninety-seven billion, four hundred six million, six hundred eighty thousand, eight hundred ninety-six".