6456242646 has 96 divisors (see below), whose sum is σ = 17415406080. Its totient is φ = 1764422352.

The previous prime is 6456242633. The next prime is 6456242659. The reversal of 6456242646 is 6462426546.

6456242646 is a `hidden beast` number, since 6 + 4 + 562 + 42 + 6 + 46 = 666.

It is an interprime number because it is at equal distance from previous prime (6456242633) and next prime (6456242659).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7815 + ... + 113901.

It is an arithmetic number, because the mean of its divisors is an integer number (181410480).

Almost surely, 2^6456242646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6456242646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8707703040).

6456242646 is an abundant number, since it is smaller than the sum of its proper divisors (10959163434).

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

6456242646 is a wasteful number, since it uses less digits than its factorization.

6456242646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106135 (or 106122 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 45.

The square root of 6456242646 is about 80350.7476380898. The cubic root of 6456242646 is about 1862.0583300927.

The spelling of 6456242646 in words is "six billion, four hundred fifty-six million, two hundred forty-two thousand, six hundred forty-six".