10749228672 has 256 divisors, whose sum is σ = 36278968320. Its totient is φ = 2743234560.

The previous prime is 10749228649. The next prime is 10749228689. The reversal of 10749228672 is 27682294701.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1078303 + ... + 1088225.

It is an arithmetic number, because the mean of its divisors is an integer number (141714720).

Almost surely, 2^10749228672 is an apocalyptic number.

10749228672 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 10749228672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18139484160).

10749228672 is an abundant number, since it is smaller than the sum of its proper divisors (25529739648).

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

10749228672 is a wasteful number, since it uses less digits than its factorization.

10749228672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9991 (or 9979 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 10749228672 in words is "ten billion, seven hundred forty-nine million, two hundred twenty-eight thousand, six hundred seventy-two".