10727824680 has 320 divisors, whose sum is σ = 37824019200. Its totient is φ = 2721945600.

The previous prime is 10727824661. The next prime is 10727824741. The reversal of 10727824680 is 8642872701.

10727824680 is a `hidden beast` number, since 107 + 2 + 7 + 82 + 468 + 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 79 ways as a sum of consecutive naturals, for example, 26752480 + ... + 26752880.

It is an arithmetic number, because the mean of its divisors is an integer number (118200060).

Almost surely, 2^10727824680 is an apocalyptic number.

10727824680 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 10727824680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18912009600).

10727824680 is an abundant number, since it is smaller than the sum of its proper divisors (27096194520).

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

10727824680 is a wasteful number, since it uses less digits than its factorization.

10727824680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 10727824680 in words is "ten billion, seven hundred twenty-seven million, eight hundred twenty-four thousand, six hundred eighty".