13730605740 has 144 divisors (see below), whose sum is σ = 44245000800. Its totient is φ = 3436867584.

The previous prime is 13730605639. The next prime is 13730605769. The reversal of 13730605740 is 4750603731.

13730605740 is a `hidden beast` number, since 1 + 3 + 7 + 3 + 0 + 605 + 7 + 40 = 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 = 13730605695 and 13730605704.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 354364 + ... + 391196.

It is an arithmetic number, because the mean of its divisors is an integer number (307256950).

Almost surely, 2^13730605740 is an apocalyptic number.

13730605740 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 13730605740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22122500400).

13730605740 is an abundant number, since it is smaller than the sum of its proper divisors (30514395060).

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

13730605740 is a wasteful number, since it uses less digits than its factorization.

13730605740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36976 (or 36971 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The spelling of 13730605740 in words is "thirteen billion, seven hundred thirty million, six hundred five thousand, seven hundred forty".