13668782400 has 1680 divisors, whose sum is σ = 66159237760. Its totient is φ = 2687385600.

The previous prime is 13668782399. The next prime is 13668782411. The reversal of 13668782400 is 428786631.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×13668782400² (a number of 21 digits) contains 22 as substring.

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

It is a zygodrome in base 15.

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, 224078370 + ... + 224078430.

Almost surely, 2^13668782400 is an apocalyptic number.

13668782400 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 13668782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33079618880).

13668782400 is an abundant number, since it is smaller than the sum of its proper divisors (52490455360).

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

13668782400 is a wasteful number, since it uses less digits than its factorization.

13668782400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 110 counting only the distinct ones).

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

The spelling of 13668782400 in words is "thirteen billion, six hundred sixty-eight million, seven hundred eighty-two thousand, four hundred".