10744573728 has 96 divisors (see below), whose sum is σ = 32249871360. Its totient is φ = 3068340480.

The previous prime is 10744573727. The next prime is 10744573759. The reversal of 10744573728 is 82737544701.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (10744573727) 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 15 ways as a sum of consecutive naturals, for example, 2537373 + ... + 2541603.

It is an arithmetic number, because the mean of its divisors is an integer number (335936160).

Almost surely, 2^10744573728 is an apocalyptic number.

It is an amenable number.

10744573728 is an abundant number, since it is smaller than the sum of its proper divisors (21505297632).

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

10744573728 is a wasteful number, since it uses less digits than its factorization.

10744573728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8030 (or 8022 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 48.

The spelling of 10744573728 in words is "ten billion, seven hundred forty-four million, five hundred seventy-three thousand, seven hundred twenty-eight".