13735205640 has 448 divisors, whose sum is σ = 52553188800. Its totient is φ = 3201348096.

The previous prime is 13735205639. The next prime is 13735205647. The reversal of 13735205640 is 4650253731.

13735205640 is a `hidden beast` number, since 1 + 3 + 7 + 3 + 5 + 2 + 0 + 5 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13735205595 and 13735205604.

It is not an unprimeable number, because it can be changed into a prime (13735205647) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7201567 + ... + 7203473.

It is an arithmetic number, because the mean of its divisors is an integer number (117306225).

Almost surely, 2^13735205640 is an apocalyptic number.

13735205640 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 13735205640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26276594400).

13735205640 is an abundant number, since it is smaller than the sum of its proper divisors (38817983160).

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

13735205640 is a wasteful number, since it uses less digits than its factorization.

13735205640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1968 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 13735205640 in words is "thirteen billion, seven hundred thirty-five million, two hundred five thousand, six hundred forty".