13296646471680 has 2160 divisors, whose sum is σ = 56556912563424. Its totient is φ = 2958274068480.

The previous prime is 13296646471649. The next prime is 13296646471697. The reversal of 13296646471680 is 8617464669231.

13296646471680 is a `hidden beast` number, since 1 + 3 + 2 + 9 + 6 + 6 + 464 + 7 + 168 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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 143 ways as a sum of consecutive naturals, for example, 76859228074 + ... + 76859228246.

Almost surely, 2^{13296646471680} is an apocalyptic number.

13296646471680 is a gapful number since it is divisible by the number (10) 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 13296646471680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28278456281712).

13296646471680 is an abundant number, since it is smaller than the sum of its proper divisors (43260266091744).

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

13296646471680 is an frugal number, since it uses more digits than its factorization.

13296646471680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 13296646471680 in words is "thirteen trillion, two hundred ninety-six billion, six hundred forty-six million, four hundred seventy-one thousand, six hundred eighty".