13506735640 has 32 divisors (see below), whose sum is σ = 30608802000. Its totient is φ = 5363823744.

The previous prime is 13506735631. The next prime is 13506735643. The reversal of 13506735640 is 4653760531.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 13506735593 and 13506735602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13506735643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1209075 + ... + 1220194.

Almost surely, 2^13506735640 is an apocalyptic number.

13506735640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13506735640 is an abundant number, since it is smaller than the sum of its proper divisors (17102066360).

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

13506735640 is a wasteful number, since it uses less digits than its factorization.

13506735640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2429419 (or 2429415 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 40.

The spelling of 13506735640 in words is "thirteen billion, five hundred six million, seven hundred thirty-five thousand, six hundred forty".