10746266544 has 480 divisors, whose sum is σ = 36016742400. Its totient is φ = 3056901120.

The previous prime is 10746266533. The next prime is 10746266551. The reversal of 10746266544 is 44566264701.

10746266544 is a `hidden beast` number, since 1 + 0 + 7 + 46 + 2 + 66 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10746266544.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 84616209 + ... + 84616335.

It is an arithmetic number, because the mean of its divisors is an integer number (75034880).

Almost surely, 2^10746266544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10746266544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18008371200).

10746266544 is an abundant number, since it is smaller than the sum of its proper divisors (25270475856).

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

10746266544 is a wasteful number, since it uses less digits than its factorization.

10746266544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 10746266544 in words is "ten billion, seven hundred forty-six million, two hundred sixty-six thousand, five hundred forty-four".