10684218720 has 288 divisors, whose sum is σ = 39300938208. Its totient is φ = 2432704512.

The previous prime is 10684218707. The next prime is 10684218731. The reversal of 10684218720 is 2781248601.

It is a happy number.

10684218720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10684218720² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7455124 + ... + 7456556.

It is an arithmetic number, because the mean of its divisors is an integer number (136461591).

Almost surely, 2^10684218720 is an apocalyptic number.

10684218720 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 10684218720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19650469104).

10684218720 is an abundant number, since it is smaller than the sum of its proper divisors (28616719488).

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

10684218720 is a wasteful number, since it uses less digits than its factorization.

10684218720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The spelling of 10684218720 in words is "ten billion, six hundred eighty-four million, two hundred eighteen thousand, seven hundred twenty".