13776601728 has 128 divisors (see below), whose sum is σ = 38080108800. Its totient is φ = 4407603200.

The previous prime is 13776601711. The next prime is 13776601747. The reversal of 13776601728 is 82710667731.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1922953 + ... + 1930103.

It is an arithmetic number, because the mean of its divisors is an integer number (297500850).

Almost surely, 2^13776601728 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 13776601728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19040054400).

13776601728 is an abundant number, since it is smaller than the sum of its proper divisors (24303507072).

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

13776601728 is a wasteful number, since it uses less digits than its factorization.

13776601728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7370 (or 7358 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 48.

The spelling of 13776601728 in words is "thirteen billion, seven hundred seventy-six million, six hundred one thousand, seven hundred twenty-eight".