6480729984960 has 3136 divisors, whose sum is σ = 32180343137280. Its totient is φ = 1199648931840.

The previous prime is 6480729984923. The next prime is 6480729984961. The reversal of 6480729984960 is 694899270846.

6480729984960 is a `hidden beast` number, since 6 + 48 + 0 + 7 + 2 + 9 + 98 + 496 + 0 = 666.

It is a super-2 number, since 2×6480729984960² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6480729984961) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 5801906322 + ... + 5801907438.

Almost surely, 2^{6480729984960} is an apocalyptic number.

6480729984960 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 6480729984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16090171568640).

6480729984960 is an abundant number, since it is smaller than the sum of its proper divisors (25699613152320).

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

6480729984960 is a wasteful number, since it uses less digits than its factorization.

6480729984960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 6480729984960 in words is "six trillion, four hundred eighty billion, seven hundred twenty-nine million, nine hundred eighty-four thousand, nine hundred sixty".