13325076864 has 384 divisors, whose sum is σ = 44108064000. Its totient is φ = 3821875200.

The previous prime is 13325076851. The next prime is 13325076893. The reversal of 13325076864 is 46867052331.

13325076864 is a `hidden beast` number, since 133 + 2 + 507 + 6 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38180562 + ... + 38180910.

It is an arithmetic number, because the mean of its divisors is an integer number (114864750).

Almost surely, 2^13325076864 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 13325076864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22054032000).

13325076864 is an abundant number, since it is smaller than the sum of its proper divisors (30782987136).

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

13325076864 is a wasteful number, since it uses less digits than its factorization.

13325076864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 13325076864 in words is "thirteen billion, three hundred twenty-five million, seventy-six thousand, eight hundred sixty-four".