6456285907344 has 1920 divisors, whose sum is σ = 25366264455168. Its totient is φ = 1543096811520.

The previous prime is 6456285907333. The next prime is 6456285907363. The reversal of 6456285907344 is 4437095826546.

6456285907344 is a `hidden beast` number, since 6 + 4 + 5 + 6 + 2 + 8 + 590 + 7 + 34 + 4 = 666.

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 383 ways as a sum of consecutive naturals, for example, 12344714667 + ... + 12344715189.

Almost surely, 2^{6456285907344} 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 6456285907344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12683132227584).

6456285907344 is an abundant number, since it is smaller than the sum of its proper divisors (18909978547824).

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

6456285907344 is a wasteful number, since it uses less digits than its factorization.

6456285907344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 63.

The spelling of 6456285907344 in words is "six trillion, four hundred fifty-six billion, two hundred eighty-five million, nine hundred seven thousand, three hundred forty-four".