6456866420736 has 672 divisors, whose sum is σ = 20807046907920. Its totient is φ = 1994923966464.

The previous prime is 6456866420689. The next prime is 6456866420737. The reversal of 6456866420736 is 6370246686546.

6456866420736 is a `hidden beast` number, since 6 + 4 + 568 + 6 + 64 + 2 + 0 + 7 + 3 + 6 = 666.

It is a super-2 number, since 2×6456866420736² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6456866420737) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1700515990 + ... + 1700519786.

Almost surely, 2^{6456866420736} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6456866420736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10403523453960).

6456866420736 is an abundant number, since it is smaller than the sum of its proper divisors (14350180487184).

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

6456866420736 is an equidigital number, since it uses as much as digits as its factorization.

6456866420736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3921 (or 3886 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 63.

The spelling of 6456866420736 in words is "six trillion, four hundred fifty-six billion, eight hundred sixty-six million, four hundred twenty thousand, seven hundred thirty-six".