13447876464 has 240 divisors, whose sum is σ = 41824823040. Its totient is φ = 3999605760.

The previous prime is 13447876427. The next prime is 13447876483. The reversal of 13447876464 is 46467874431.

13447876464 is a `hidden beast` number, since 1 + 3 + 44 + 78 + 76 + 464 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13447876464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30632757 + ... + 30633195.

It is an arithmetic number, because the mean of its divisors is an integer number (174270096).

Almost surely, 2^13447876464 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 13447876464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20912411520).

13447876464 is an abundant number, since it is smaller than the sum of its proper divisors (28376946576).

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

13447876464 is a wasteful number, since it uses less digits than its factorization.

13447876464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 771 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 54.

The spelling of 13447876464 in words is "thirteen billion, four hundred forty-seven million, eight hundred seventy-six thousand, four hundred sixty-four".