13777628704 has 72 divisors (see below), whose sum is σ = 31593287628. Its totient is φ = 5897203200.

The previous prime is 13777628671. The next prime is 13777628731. The reversal of 13777628704 is 40782677731.

It is a happy number.

13777628704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 13770553104 + 7075600 = 117348^2 + 2660^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1332354 + ... + 1342654.

Almost surely, 2^13777628704 is an apocalyptic number.

13777628704 is a gapful number since it is divisible by the number (14) 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 13777628704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15796643814).

13777628704 is an abundant number, since it is smaller than the sum of its proper divisors (17815658924).

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

13777628704 is a wasteful number, since it uses less digits than its factorization.

13777628704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11178 (or 11163 counting only the distinct ones).

The product of its (nonzero) digits is 2765952, while the sum is 52.

The spelling of 13777628704 in words is "thirteen billion, seven hundred seventy-seven million, six hundred twenty-eight thousand, seven hundred four".