6481668480 has 512 divisors, whose sum is σ = 24967249920. Its totient is φ = 1398988800.

The previous prime is 6481668469. The next prime is 6481668497. The reversal of 6481668480 is 848661846.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19581915 + ... + 19582245.

It is an arithmetic number, because the mean of its divisors is an integer number (48764160).

Almost surely, 2^6481668480 is an apocalyptic number.

6481668480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6481668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12483624960).

6481668480 is an abundant number, since it is smaller than the sum of its proper divisors (18485581440).

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

6481668480 is a wasteful number, since it uses less digits than its factorization.

6481668480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The square root of 6481668480 is about 80508.8099527002. The cubic root of 6481668480 is about 1864.4995008068.

The spelling of 6481668480 in words is "six billion, four hundred eighty-one million, six hundred sixty-eight thousand, four hundred eighty".