10774066400 has 72 divisors (see below), whose sum is σ = 26345891880. Its totient is φ = 4302466560.

The previous prime is 10774066397. The next prime is 10774066417. The reversal of 10774066400 is 466047701.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 484322 + ... + 506078.

It is an arithmetic number, because the mean of its divisors is an integer number (365915165).

Almost surely, 2^10774066400 is an apocalyptic number.

10774066400 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 10774066400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13172945940).

10774066400 is an abundant number, since it is smaller than the sum of its proper divisors (15571825480).

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

10774066400 is a wasteful number, since it uses less digits than its factorization.

10774066400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22396 (or 22383 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The spelling of 10774066400 in words is "ten billion, seven hundred seventy-four million, sixty-six thousand, four hundred".