13553676864 has 672 divisors, whose sum is σ = 50719142656. Its totient is φ = 3493601280.

The previous prime is 13553676863. The next prime is 13553676907. The reversal of 13553676864 is 46867635531.

13553676864 is a `hidden beast` number, since 1 + 3 + 553 + 6 + 7 + 6 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

Its product of digits (10886400) is a multiple of the sum of its prime divisors (243).

It is a self number, because there is not a number n which added to its sum of digits gives 13553676864.

It is not an unprimeable number, because it can be changed into a prime (13553676863) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86329074 + ... + 86329230.

Almost surely, 2^13553676864 is an apocalyptic number.

13553676864 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 13553676864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25359571328).

13553676864 is an abundant number, since it is smaller than the sum of its proper divisors (37165465792).

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

13553676864 is a wasteful number, since it uses less digits than its factorization.

13553676864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 243 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The spelling of 13553676864 in words is "thirteen billion, five hundred fifty-three million, six hundred seventy-six thousand, eight hundred sixty-four".