10742744576 has 80 divisors (see below), whose sum is σ = 22167509760. Its totient is φ = 5197086720.

The previous prime is 10742744563. The next prime is 10742744591. The reversal of 10742744576 is 67544724701.

It is a super-2 number, since 2×10742744576² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10742744576.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3616820 + ... + 3619788.

It is an arithmetic number, because the mean of its divisors is an integer number (277093872).

Almost surely, 2^10742744576 is an apocalyptic number.

10742744576 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 10742744576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11083754880).

10742744576 is an abundant number, since it is smaller than the sum of its proper divisors (11424765184).

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

10742744576 is an equidigital number, since it uses as much as digits as its factorization.

10742744576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3215 (or 3199 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 47.

The spelling of 10742744576 in words is "ten billion, seven hundred forty-two million, seven hundred forty-four thousand, five hundred seventy-six".