6481728960 has 224 divisors, whose sum is σ = 23804831232. Its totient is φ = 1463562240.

The previous prime is 6481728959. The next prime is 6481728971. The reversal of 6481728960 is 698271846.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 551950 + ... + 563570.

It is an arithmetic number, because the mean of its divisors is an integer number (106271568).

Almost surely, 2^6481728960 is an apocalyptic number.

6481728960 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 6481728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11902415616).

6481728960 is an abundant number, since it is smaller than the sum of its proper divisors (17323102272).

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

6481728960 is a wasteful number, since it uses less digits than its factorization.

6481728960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11731 (or 11721 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The square root of 6481728960 is about 80509.1855628909. The cubic root of 6481728960 is about 1864.5052999607.

The spelling of 6481728960 in words is "six billion, four hundred eighty-one million, seven hundred twenty-eight thousand, nine hundred sixty".