6455313768 has 192 divisors, whose sum is σ = 17868280320. Its totient is φ = 1938625920.

The previous prime is 6455313751. The next prime is 6455313773. The reversal of 6455313768 is 8673135546.

Its product of digits (1814400) is a multiple of the sum of its prime factors (420).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22810155 + ... + 22810437.

It is an arithmetic number, because the mean of its divisors is an integer number (93063960).

Almost surely, 2^6455313768 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 6455313768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8934140160).

6455313768 is an abundant number, since it is smaller than the sum of its proper divisors (11412966552).

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

6455313768 is a wasteful number, since it uses less digits than its factorization.

6455313768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 385 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 48.

The square root of 6455313768 is about 80344.9672848275. The cubic root of 6455313768 is about 1861.9690259330.

The spelling of 6455313768 in words is "six billion, four hundred fifty-five million, three hundred thirteen thousand, seven hundred sixty-eight".