10784449632 has 144 divisors (see below), whose sum is σ = 31914098496. Its totient is φ = 3162297600.

The previous prime is 10784449589. The next prime is 10784449639. The reversal of 10784449632 is 23694448701.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10784449639) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1009503 + ... + 1020129.

It is an arithmetic number, because the mean of its divisors is an integer number (221625684).

Almost surely, 2^10784449632 is an apocalyptic number.

10784449632 is a gapful number since it is divisible by the number (12) 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 10784449632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15957049248).

10784449632 is an abundant number, since it is smaller than the sum of its proper divisors (21129648864).

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

10784449632 is a wasteful number, since it uses less digits than its factorization.

10784449632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10713 (or 10674 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 10784449632 in words is "ten billion, seven hundred eighty-four million, four hundred forty-nine thousand, six hundred thirty-two".