13706491680 has 576 divisors, whose sum is σ = 56633230080. Its totient is φ = 3086512128.

The previous prime is 13706491679. The next prime is 13706491697. The reversal of 13706491680 is 8619460731.

It is a happy number.

13706491680 is a `hidden beast` number, since 13 + 70 + 6 + 491 + 6 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15452197 + ... + 15453083.

It is an arithmetic number, because the mean of its divisors is an integer number (98321580).

Almost surely, 2^13706491680 is an apocalyptic number.

13706491680 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 13706491680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28316615040).

13706491680 is an abundant number, since it is smaller than the sum of its proper divisors (42926738400).

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

13706491680 is a wasteful number, since it uses less digits than its factorization.

13706491680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 13706491680 in words is "thirteen billion, seven hundred six million, four hundred ninety-one thousand, six hundred eighty".