13466764744400 has 360 divisors, whose sum is σ = 36174862264800. Its totient is φ = 4813395840000.

The previous prime is 13466764744399. The next prime is 13466764744403. The reversal of 13466764744400 is 444746766431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13466764744403) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 679477691 + ... + 679497509.

Almost surely, 2^{13466764744400} is an apocalyptic number.

13466764744400 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 13466764744400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18087431132400).

13466764744400 is an abundant number, since it is smaller than the sum of its proper divisors (22708097520400).

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

13466764744400 is a wasteful number, since it uses less digits than its factorization.

13466764744400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20099 (or 20077 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 56.

The spelling of 13466764744400 in words is "thirteen trillion, four hundred sixty-six billion, seven hundred sixty-four million, seven hundred forty-four thousand, four hundred".