13678783320 has 128 divisors (see below), whose sum is σ = 42583242240. Its totient is φ = 3512570880.

The previous prime is 13678783273. The next prime is 13678783331. The reversal of 13678783320 is 2338787631.

It is a super-2 number, since 2×13678783320² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 13678783320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 347692 + ... + 385028.

It is an arithmetic number, because the mean of its divisors is an integer number (332681580).

Almost surely, 2^13678783320 is an apocalyptic number.

13678783320 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 13678783320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21291621120).

13678783320 is an abundant number, since it is smaller than the sum of its proper divisors (28904458920).

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

13678783320 is a wasteful number, since it uses less digits than its factorization.

13678783320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37465 (or 37461 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 13678783320 in words is "thirteen billion, six hundred seventy-eight million, seven hundred eighty-three thousand, three hundred twenty".