13676382720 has 960 divisors, whose sum is σ = 63702422784. Its totient is φ = 2618818560.

The previous prime is 13676382703. The next prime is 13676382743. The reversal of 13676382720 is 2728367631.

13676382720 is a `hidden beast` number, since 1 + 3 + 6 + 7 + 638 + 2 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 23062744 + ... + 23063336.

Almost surely, 2^13676382720 is an apocalyptic number.

13676382720 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 13676382720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31851211392).

13676382720 is an abundant number, since it is smaller than the sum of its proper divisors (50026040064).

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

13676382720 is a wasteful number, since it uses less digits than its factorization.

13676382720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 13676382720 in words is "thirteen billion, six hundred seventy-six million, three hundred eighty-two thousand, seven hundred twenty".