13766019840 has 432 divisors, whose sum is σ = 50683432800. Its totient is φ = 3439853568.

The previous prime is 13766019811. The next prime is 13766019857. The reversal of 13766019840 is 4891066731.

It is a happy number.

13766019840 is a `hidden beast` number, since 1 + 37 + 6 + 601 + 9 + 8 + 4 + 0 = 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 47 ways as a sum of consecutive naturals, for example, 23857632 + ... + 23858208.

Almost surely, 2^13766019840 is an apocalyptic number.

13766019840 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 13766019840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25341716400).

13766019840 is an abundant number, since it is smaller than the sum of its proper divisors (36917412960).

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

13766019840 is a wasteful number, since it uses less digits than its factorization.

13766019840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 715 counting only the distinct ones).

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

The spelling of 13766019840 in words is "thirteen billion, seven hundred sixty-six million, nineteen thousand, eight hundred forty".