13790646272 has 208 divisors, whose sum is σ = 32090372160. Its totient is φ = 5871108096.

The previous prime is 13790646251. The next prime is 13790646323. The reversal of 13790646272 is 27264609731.

It is a tau number, because it is divible by the number of its divisors (208).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43503458 + ... + 43503774.

Almost surely, 2^13790646272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13790646272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16045186080).

13790646272 is an abundant number, since it is smaller than the sum of its proper divisors (18299725888).

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

13790646272 is a wasteful number, since it uses less digits than its factorization.

13790646272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 47.

The spelling of 13790646272 in words is "thirteen billion, seven hundred ninety million, six hundred forty-six thousand, two hundred seventy-two".