13092743664 has 960 divisors, whose sum is σ = 54112250880. Its totient is φ = 2932899840.

The previous prime is 13092743663. The next prime is 13092743693. The reversal of 13092743664 is 46634729031.

13092743664 is a `hidden beast` number, since 13 + 0 + 9 + 274 + 366 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13092743663) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 95567404 + ... + 95567540.

It is an arithmetic number, because the mean of its divisors is an integer number (56366928).

Almost surely, 2^13092743664 is an apocalyptic number.

13092743664 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 13092743664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27056125440).

13092743664 is an abundant number, since it is smaller than the sum of its proper divisors (41019507216).

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

13092743664 is a wasteful number, since it uses less digits than its factorization.

13092743664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 13092743664 in words is "thirteen billion, ninety-two million, seven hundred forty-three thousand, six hundred sixty-four".