13480964784 has 200 divisors, whose sum is σ = 45004197920. Its totient is φ = 3816087552.

The previous prime is 13480964771. The next prime is 13480964807. The reversal of 13480964784 is 48746908431.

13480964784 is a `hidden beast` number, since 1 + 3 + 4 + 80 + 96 + 478 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13480964784.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 982032 + ... + 995664.

Almost surely, 2^13480964784 is an apocalyptic number.

13480964784 is a gapful number since it is divisible by the number (14) 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 13480964784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22502098960).

13480964784 is an abundant number, since it is smaller than the sum of its proper divisors (31523233136).

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

13480964784 is a wasteful number, since it uses less digits than its factorization.

13480964784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13769 (or 13754 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 13480964784 in words is "thirteen billion, four hundred eighty million, nine hundred sixty-four thousand, seven hundred eighty-four".