10784374016 has 108 divisors (see below), whose sum is σ = 23943442572. Its totient is φ = 4842160128.

The previous prime is 10784373991. The next prime is 10784374039. The reversal of 10784374016 is 61047348701.

It can be written as a sum of positive squares in 6 ways, for example, as 265820416 + 10518553600 = 16304^2 + 102560^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1597400 + ... + 1604136.

Almost surely, 2^10784374016 is an apocalyptic number.

10784374016 is a gapful number since it is divisible by the number (16) 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 10784374016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11971721286).

10784374016 is an abundant number, since it is smaller than the sum of its proper divisors (13159068556).

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

10784374016 is an equidigital number, since it uses as much as digits as its factorization.

10784374016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6816 (or 6789 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 41.

The spelling of 10784374016 in words is "ten billion, seven hundred eighty-four million, three hundred seventy-four thousand, sixteen".