13743089640 has 256 divisors, whose sum is σ = 53019648000. Its totient is φ = 3101379840.

The previous prime is 13743089639. The next prime is 13743089641. The reversal of 13743089640 is 4698034731.

13743089640 is a `hidden beast` number, since 137 + 430 + 89 + 6 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13743089639) and next prime (13743089641).

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

It is not an unprimeable number, because it can be changed into a prime (13743089641) 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 63 ways as a sum of consecutive naturals, for example, 585735 + ... + 608745.

It is an arithmetic number, because the mean of its divisors is an integer number (207108000).

Almost surely, 2^13743089640 is an apocalyptic number.

13743089640 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 13743089640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26509824000).

13743089640 is an abundant number, since it is smaller than the sum of its proper divisors (39276558360).

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

13743089640 is a wasteful number, since it uses less digits than its factorization.

13743089640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23117 (or 23107 counting only the distinct ones).

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

The spelling of 13743089640 in words is "thirteen billion, seven hundred forty-three million, eighty-nine thousand, six hundred forty".