3268518432480 has 1152 divisors, whose sum is σ = 13996060968960. Its totient is φ = 697635348480.

The previous prime is 3268518432457. The next prime is 3268518432493. The reversal of 3268518432480 is 842348158623.

3268518432480 is a `hidden beast` number, since 3 + 2 + 6 + 8 + 51 + 84 + 32 + 480 = 666.

It is a super-3 number, since 3×3268518432480³ (a number of 39 digits) contains 333 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 775079332 + ... + 775083548.

It is an arithmetic number, because the mean of its divisors is an integer number (12149358480).

Almost surely, 2^{3268518432480} is an apocalyptic number.

3268518432480 is a gapful number since it is divisible by the number (30) 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 3268518432480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6998030484480).

3268518432480 is an abundant number, since it is smaller than the sum of its proper divisors (10727542536480).

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

3268518432480 is a wasteful number, since it uses less digits than its factorization.

3268518432480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4357 (or 4324 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 3268518432480 in words is "three trillion, two hundred sixty-eight billion, five hundred eighteen million, four hundred thirty-two thousand, four hundred eighty".