6457623264 has 240 divisors, whose sum is σ = 20321942256. Its totient is φ = 2004480000.

The previous prime is 6457623259. The next prime is 6457623307. The reversal of 6457623264 is 4623267546.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4449739 + ... + 4451189.

Almost surely, 2^6457623264 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 6457623264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10160971128).

6457623264 is an abundant number, since it is smaller than the sum of its proper divisors (13864318992).

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

6457623264 is a wasteful number, since it uses less digits than its factorization.

6457623264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1591 (or 1574 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The square root of 6457623264 is about 80359.3383745785. The cubic root of 6457623264 is about 1862.1910495996.

The spelling of 6457623264 in words is "six billion, four hundred fifty-seven million, six hundred twenty-three thousand, two hundred sixty-four".