13324934276640 has 1152 divisors, whose sum is σ = 55305907937280. Its totient is φ = 2966207827968.

The previous prime is 13324934276629. The next prime is 13324934276653. The reversal of 13324934276640 is 4667243942331.

13324934276640 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 493 + 42 + 76 + 6 + 40 = 666.

13324934276640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4552418857 + ... + 4552421783.

It is an arithmetic number, because the mean of its divisors is an integer number (48008600640).

Almost surely, 2^{13324934276640} is an apocalyptic number.

13324934276640 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 13324934276640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27652953968640).

13324934276640 is an abundant number, since it is smaller than the sum of its proper divisors (41980973660640).

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

13324934276640 is a wasteful number, since it uses less digits than its factorization.

13324934276640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3396 (or 3376 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 54.

The spelling of 13324934276640 in words is "thirteen trillion, three hundred twenty-four billion, nine hundred thirty-four million, two hundred seventy-six thousand, six hundred forty".