10742784000 has 448 divisors, whose sum is σ = 38642909760. Its totient is φ = 2634547200.

The previous prime is 10742783999. The next prime is 10742784011. The reversal of 10742784000 is 48724701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39935866 + ... + 39936134.

It is an arithmetic number, because the mean of its divisors is an integer number (86256495).

Almost surely, 2^10742784000 is an apocalyptic number.

10742784000 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 10742784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19321454880).

10742784000 is an abundant number, since it is smaller than the sum of its proper divisors (27900125760).

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

10742784000 is an equidigital number, since it uses as much as digits as its factorization.

10742784000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The spelling of 10742784000 in words is "ten billion, seven hundred forty-two million, seven hundred eighty-four thousand".