13663610400 has 216 divisors, whose sum is σ = 48886839792. Its totient is φ = 3312320000.

The previous prime is 13663610321. The next prime is 13663610417. The reversal of 13663610400 is 401636631.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 266875 + ... + 313925.

It is an arithmetic number, because the mean of its divisors is an integer number (226327962).

Almost surely, 2^13663610400 is an apocalyptic number.

13663610400 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 13663610400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24443419896).

13663610400 is an abundant number, since it is smaller than the sum of its proper divisors (35223229392).

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

13663610400 is a wasteful number, since it uses less digits than its factorization.

13663610400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47096 (or 47072 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The spelling of 13663610400 in words is "thirteen billion, six hundred sixty-three million, six hundred ten thousand, four hundred".