13643789040 has 560 divisors, whose sum is σ = 57248716800. Its totient is φ = 2952764928.

The previous prime is 13643789023. The next prime is 13643789041. The reversal of 13643789040 is 4098734631.

13643789040 is a `hidden beast` number, since 136 + 437 + 89 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13643789041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7755681 + ... + 7757439.

Almost surely, 2^13643789040 is an apocalyptic number.

13643789040 is a gapful number since it is divisible by the number (10) 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 13643789040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28624358400).

13643789040 is an abundant number, since it is smaller than the sum of its proper divisors (43604927760).

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

13643789040 is a wasteful number, since it uses less digits than its factorization.

13643789040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 13643789040 in words is "thirteen billion, six hundred forty-three million, seven hundred eighty-nine thousand, forty".