13706377764 has 96 divisors (see below), whose sum is σ = 34717213440. Its totient is φ = 4195699200.

The previous prime is 13706377747. The next prime is 13706377771. The reversal of 13706377764 is 46777360731.

13706377764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 1443994 + ... + 1453454.

It is an arithmetic number, because the mean of its divisors is an integer number (361637640).

Almost surely, 2^13706377764 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 13706377764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17358606720).

13706377764 is an abundant number, since it is smaller than the sum of its proper divisors (21010835676).

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

13706377764 is a wasteful number, since it uses less digits than its factorization.

13706377764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9701 (or 9699 counting only the distinct ones).

The product of its (nonzero) digits is 3111696, while the sum is 51.

The spelling of 13706377764 in words is "thirteen billion, seven hundred six million, three hundred seventy-seven thousand, seven hundred sixty-four".