13766380992 has 672 divisors, whose sum is σ = 53432171520. Its totient is φ = 3284582400.

The previous prime is 13766380967. The next prime is 13766381009. The reversal of 13766380992 is 29908366731.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22905492 + ... + 22906092.

It is an arithmetic number, because the mean of its divisors is an integer number (79512160).

Almost surely, 2^13766380992 is an apocalyptic number.

13766380992 is a gapful number since it is divisible by the number (12) 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 13766380992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26716085760).

13766380992 is an abundant number, since it is smaller than the sum of its proper divisors (39665790528).

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

13766380992 is a wasteful number, since it uses less digits than its factorization.

13766380992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 13766380992 in words is "thirteen billion, seven hundred sixty-six million, three hundred eighty thousand, nine hundred ninety-two".