36738640801 has 2 divisors, whose sum is σ = 36738640802. Its totient is φ = 36738640800.

The previous prime is 36738640747. The next prime is 36738640811. The reversal of 36738640801 is 10804683763.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34587072576 + 2151568225 = 185976^2 + 46385^2 .

It is an emirp because it is prime and its reverse (10804683763) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 36738640801 - 2²³ = 36730252193 is a prime.

It is not a weakly prime, because it can be changed into another prime (36738640811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18369320400 + 18369320401.

It is an arithmetic number, because the mean of its divisors is an integer number (18369320401).

Almost surely, 2^36738640801 is an apocalyptic number.

It is an amenable number.

36738640801 is a deficient number, since it is larger than the sum of its proper divisors (1).

36738640801 is an equidigital number, since it uses as much as digits as its factorization.

36738640801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 36738640801 in words is "thirty-six billion, seven hundred thirty-eight million, six hundred forty thousand, eight hundred one".