13780039680 has 768 divisors, whose sum is σ = 56043187200. Its totient is φ = 3179151360.

The previous prime is 13780039627. The next prime is 13780039681. The reversal of 13780039680 is 8693008731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13780039681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69949342 + ... + 69949538.

It is an arithmetic number, because the mean of its divisors is an integer number (72972900).

Almost surely, 2^13780039680 is an apocalyptic number.

13780039680 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 13780039680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28021593600).

13780039680 is an abundant number, since it is smaller than the sum of its proper divisors (42263147520).

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

13780039680 is a wasteful number, since it uses less digits than its factorization.

13780039680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 13780039680 in words is "thirteen billion, seven hundred eighty million, thirty-nine thousand, six hundred eighty".