13686472800 has 1440 divisors, whose sum is σ = 67332190464. Its totient is φ = 2612736000.

The previous prime is 13686472799. The next prime is 13686472841. The reversal of 13686472800 is 827468631.

13686472800 is a `hidden beast` number, since 1 + 368 + 6 + 4 + 7 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 64864695 + ... + 64864905.

Almost surely, 2^13686472800 is an apocalyptic number.

13686472800 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 13686472800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33666095232).

13686472800 is an abundant number, since it is smaller than the sum of its proper divisors (53645717664).

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

13686472800 is a wasteful number, since it uses less digits than its factorization.

13686472800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 13686472800 in words is "thirteen billion, six hundred eighty-six million, four hundred seventy-two thousand, eight hundred".