10736674000 has 80 divisors (see below), whose sum is σ = 27958366800. Its totient is φ = 3964300800.

The previous prime is 10736673991. The next prime is 10736674007. The reversal of 10736674000 is 47663701.

It can be written as a sum of positive squares in 8 ways, for example, as 8788687504 + 1947986496 = 93748^2 + 44136^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10736674007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180475 + ... + 232474.

It is an arithmetic number, because the mean of its divisors is an integer number (349479585).

Almost surely, 2^10736674000 is an apocalyptic number.

10736674000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10736674000 is an abundant number, since it is smaller than the sum of its proper divisors (17221692800).

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

10736674000 is a wasteful number, since it uses less digits than its factorization.

10736674000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412985 (or 412969 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 34.

The spelling of 10736674000 in words is "ten billion, seven hundred thirty-six million, six hundred seventy-four thousand".