13660770240 has 672 divisors, whose sum is σ = 54319749120. Its totient is φ = 3139928064.

The previous prime is 13660770199. The next prime is 13660770287. The reversal of 13660770240 is 4207706631.

13660770240 is a `hidden beast` number, since 1 + 3 + 6 + 607 + 7 + 0 + 2 + 40 = 666.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

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 = 13660770195 and 13660770204.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 107565057 + ... + 107565183.

It is an arithmetic number, because the mean of its divisors is an integer number (80832960).

Almost surely, 2^13660770240 is an apocalyptic number.

13660770240 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 13660770240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27159874560).

13660770240 is an abundant number, since it is smaller than the sum of its proper divisors (40658978880).

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

13660770240 is a wasteful number, since it uses less digits than its factorization.

13660770240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 13660770240 in words is "thirteen billion, six hundred sixty million, seven hundred seventy thousand, two hundred forty".