6480405883224 has 1280 divisors, whose sum is σ = 24427165593600. Its totient is φ = 1562929717248.

The previous prime is 6480405883177. The next prime is 6480405883247. The reversal of 6480405883224 is 4223885040846.

6480405883224 is a `hidden beast` number, since 6 + 4 + 8 + 0 + 4 + 0 + 588 + 32 + 24 = 666.

It is a super-3 number, since 3×6480405883224³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 9013081537 + ... + 9013082255.

It is an arithmetic number, because the mean of its divisors is an integer number (19083723120).

Almost surely, 2^{6480405883224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6480405883224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12213582796800).

6480405883224 is an abundant number, since it is smaller than the sum of its proper divisors (17946759710376).

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

6480405883224 is a wasteful number, since it uses less digits than its factorization.

6480405883224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 6480405883224 in words is "six trillion, four hundred eighty billion, four hundred five million, eight hundred eighty-three thousand, two hundred twenty-four".