13712000684400 has 960 divisors, whose sum is σ = 51615814947840. Its totient is φ = 3450514636800.

The previous prime is 13712000684383. The next prime is 13712000684429. The reversal of 13712000684400 is 448600021731.

13712000684400 is a `hidden beast` number, since 1 + 3 + 7 + 1 + 200 + 0 + 6 + 8 + 440 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6764676187 + ... + 6764678213.

It is an arithmetic number, because the mean of its divisors is an integer number (53766473904).

Almost surely, 2^{13712000684400} is an apocalyptic number.

13712000684400 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 13712000684400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25807907473920).

13712000684400 is an abundant number, since it is smaller than the sum of its proper divisors (37903814263440).

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

13712000684400 is a wasteful number, since it uses less digits than its factorization.

13712000684400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2431 (or 2414 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 13712000684400 in words is "thirteen trillion, seven hundred twelve billion, six hundred eighty-four thousand, four hundred".