10774466820 has 144 divisors (see below), whose sum is σ = 35329497840. Its totient is φ = 2642162688.

The previous prime is 10774466797. The next prime is 10774466849. The reversal of 10774466820 is 2866447701.

10774466820 is a `hidden beast` number, since 107 + 7 + 4 + 466 + 82 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6671295684 + 4103171136 = 81678^2 + 64056^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 620902 + ... + 638018.

It is an arithmetic number, because the mean of its divisors is an integer number (245343735).

Almost surely, 2^10774466820 is an apocalyptic number.

10774466820 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 10774466820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17664748920).

10774466820 is an abundant number, since it is smaller than the sum of its proper divisors (24555031020).

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

10774466820 is a wasteful number, since it uses less digits than its factorization.

10774466820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17414 (or 17409 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 10774466820 in words is "ten billion, seven hundred seventy-four million, four hundred sixty-six thousand, eight hundred twenty".