13730764320 has 432 divisors, whose sum is σ = 58702938840. Its totient is φ = 2896846848.

The previous prime is 13730764291. The next prime is 13730764349. The reversal of 13730764320 is 2346703731.

13730764320 is a `hidden beast` number, since 1 + 3 + 7 + 3 + 0 + 7 + 643 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13730764291) and next prime (13730764349).

It can be written as a sum of positive squares in 4 ways, for example, as 3587051664 + 10143712656 = 59892^2 + 100716^2 .

It is a super-2 number, since 2×13730764320² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 909796 + ... + 924764.

Almost surely, 2^13730764320 is an apocalyptic number.

13730764320 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 13730764320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29351469420).

13730764320 is an abundant number, since it is smaller than the sum of its proper divisors (44972174520).

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

13730764320 is a wasteful number, since it uses less digits than its factorization.

13730764320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15017 (or 14999 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The spelling of 13730764320 in words is "thirteen billion, seven hundred thirty million, seven hundred sixty-four thousand, three hundred twenty".