6468338646 has 64 divisors (see below), whose sum is σ = 17920949760. Its totient is φ = 1680086880.

The previous prime is 6468338633. The next prime is 6468338647.

6468338646 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6468338646² = 83678809678674226632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6468338592 and 6468338601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6468338647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 773661 + ... + 781976.

It is an arithmetic number, because the mean of its divisors is an integer number (280014840).

Almost surely, 2^6468338646 is an apocalyptic number.

6468338646 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

6468338646 is an abundant number, since it is smaller than the sum of its proper divisors (11452611114).

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

6468338646 is a wasteful number, since it uses less digits than its factorization.

6468338646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555666 (or 1555660 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

The square root of 6468338646 is about 80425.9824061851. The cubic root of 6468338646 is about 1863.2204820982.

The spelling of 6468338646 in words is "six billion, four hundred sixty-eight million, three hundred thirty-eight thousand, six hundred forty-six".