13884907680 has 768 divisors, whose sum is σ = 58525286400. Its totient is φ = 3007549440.

The previous prime is 13884907679. The next prime is 13884907727. The reversal of 13884907680 is 8670948831.

13884907680 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 490 + 76 + 80 = 666.

It is a super-2 number, since 2×13884907680² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 62264049 + ... + 62264271.

It is an arithmetic number, because the mean of its divisors is an integer number (76204800).

Almost surely, 2^13884907680 is an apocalyptic number.

13884907680 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 13884907680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29262643200).

13884907680 is an abundant number, since it is smaller than the sum of its proper divisors (44640378720).

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

13884907680 is a wasteful number, since it uses less digits than its factorization.

13884907680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 13884907680 in words is "thirteen billion, eight hundred eighty-four million, nine hundred seven thousand, six hundred eighty".