10736727761314 has 64 divisors (see below), whose sum is σ = 17169424796160. Its totient is φ = 5021360208000.

The previous prime is 10736727761311. The next prime is 10736727761329. The reversal of 10736727761314 is 41316772763701.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (10736727761311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 504463717 + ... + 504484999.

It is an arithmetic number, because the mean of its divisors is an integer number (268272262440).

Almost surely, 2^{10736727761314} is an apocalyptic number.

10736727761314 is a deficient number, since it is larger than the sum of its proper divisors (6432697034846).

10736727761314 is a wasteful number, since it uses less digits than its factorization.

10736727761314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22015.

The product of its (nonzero) digits is 6223392, while the sum is 55.

The spelling of 10736727761314 in words is "ten trillion, seven hundred thirty-six billion, seven hundred twenty-seven million, seven hundred sixty-one thousand, three hundred fourteen".