13678675842240 has 672 divisors, whose sum is σ = 50362401338496. Its totient is φ = 3395545989120.

The previous prime is 13678675842239. The next prime is 13678675842269. The reversal of 13678675842240 is 4224857687631.

13678675842240 is a `hidden beast` number, since 1 + 3 + 6 + 7 + 8 + 6 + 7 + 584 + 2 + 2 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6863358684 + ... + 6863360676.

Almost surely, 2^{13678675842240} is an apocalyptic number.

13678675842240 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 13678675842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25181200669248).

13678675842240 is an abundant number, since it is smaller than the sum of its proper divisors (36683725496256).

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

13678675842240 is a wasteful number, since it uses less digits than its factorization.

13678675842240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3497 (or 3484 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 13678675842240 in words is "thirteen trillion, six hundred seventy-eight billion, six hundred seventy-five million, eight hundred forty-two thousand, two hundred forty".