10684219440 has 320 divisors, whose sum is σ = 36923351040. Its totient is φ = 2545213440.

The previous prime is 10684219423. The next prime is 10684219453. The reversal of 10684219440 is 4491248601.

It is a super-2 number, since 2×10684219440² (a number of 21 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 4961404 + ... + 4963556.

It is an arithmetic number, because the mean of its divisors is an integer number (115385472).

Almost surely, 2^10684219440 is an apocalyptic number.

10684219440 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 10684219440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18461675520).

10684219440 is an abundant number, since it is smaller than the sum of its proper divisors (26239131600).

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

10684219440 is a wasteful number, since it uses less digits than its factorization.

10684219440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252 (or 2246 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 10684219440 in words is "ten billion, six hundred eighty-four million, two hundred nineteen thousand, four hundred forty".