6462873664 has 63 divisors (see below), whose sum is σ = 13905160023. Its totient is φ = 2979005952.

The previous prime is 6462873649. The next prime is 6462873673. The reversal of 6462873664 is 4663782646.

It is a happy number.

The square root of 6462873664 is 80392.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4097024064 + 2365849600 = 64008^2 + 48640^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 8360382 + ... + 8361154.

Almost surely, 2^6462873664 is an apocalyptic number.

6462873664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6462873664 is the 80392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6462873664

6462873664 is an abundant number, since it is smaller than the sum of its proper divisors (7442286359).

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

6462873664 is an frugal number, since it uses more digits than its factorization.

6462873664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584 (or 788 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 52.

The cubic root of 6462873664 is about 1862.6956005193.

The spelling of 6462873664 in words is "six billion, four hundred sixty-two million, eight hundred seventy-three thousand, six hundred sixty-four".