13778920764 has 72 divisors (see below), whose sum is σ = 41900826240. Its totient is φ = 3729631392.

The previous prime is 13778920763. The next prime is 13778920807. The reversal of 13778920764 is 46702987731.

13778920764 is a `hidden beast` number, since 1 + 377 + 8 + 9 + 207 + 64 = 666.

13778920764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13778920764.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13778920763) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1434114 + ... + 1443689.

It is an arithmetic number, because the mean of its divisors is an integer number (581955920).

Almost surely, 2^13778920764 is an apocalyptic number.

13778920764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13778920764 is an abundant number, since it is smaller than the sum of its proper divisors (28121905476).

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

13778920764 is a wasteful number, since it uses less digits than its factorization.

13778920764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2877839 (or 2877834 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 13778920764 in words is "thirteen billion, seven hundred seventy-eight million, nine hundred twenty thousand, seven hundred sixty-four".