13684928400 has 480 divisors, whose sum is σ = 57230087040. Its totient is φ = 3062016000.

The previous prime is 13684928399. The next prime is 13684928417. The reversal of 13684928400 is 482948631.

It is a happy number.

13684928400 is a `hidden beast` number, since 1 + 368 + 4 + 9 + 284 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1539970 + ... + 1548830.

It is an arithmetic number, because the mean of its divisors is an integer number (119229348).

Almost surely, 2^13684928400 is an apocalyptic number.

13684928400 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 13684928400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28615043520).

13684928400 is an abundant number, since it is smaller than the sum of its proper divisors (43545158640).

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

13684928400 is a wasteful number, since it uses less digits than its factorization.

13684928400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8912 (or 8895 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 13684928400 in words is "thirteen billion, six hundred eighty-four million, nine hundred twenty-eight thousand, four hundred".