13722732800 has 432 divisors, whose sum is σ = 41218028544. Its totient is φ = 4423680000.

The previous prime is 13722732787. The next prime is 13722732847. The reversal of 13722732800 is 823722731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 56940680 + ... + 56940920.

Almost surely, 2^13722732800 is an apocalyptic number.

13722732800 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 13722732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20609014272).

13722732800 is an abundant number, since it is smaller than the sum of its proper divisors (27495295744).

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

13722732800 is a wasteful number, since it uses less digits than its factorization.

13722732800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The spelling of 13722732800 in words is "thirteen billion, seven hundred twenty-two million, seven hundred thirty-two thousand, eight hundred".