36634066337 has 16 divisors (see below), whose sum is σ = 41053216704. Its totient is φ = 32396760000.

The previous prime is 36634066331. The next prime is 36634066367. The reversal of 36634066337 is 73366043663.

It is not a de Polignac number, because 36634066337 - 2¹⁴ = 36634049953 is a prime.

It is a super-4 number, since 4×36634066337⁴ (a number of 43 digits) contains 4444 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 36634066291 and 36634066300.

It is not an unprimeable number, because it can be changed into a prime (36634066331) 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, 3695087 + ... + 3704987.

It is an arithmetic number, because the mean of its divisors is an integer number (2565826044).

Almost surely, 2^36634066337 is an apocalyptic number.

36634066337 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

It is an amenable number.

36634066337 is a deficient number, since it is larger than the sum of its proper divisors (4419150367).

36634066337 is a wasteful number, since it uses less digits than its factorization.

36634066337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19040.

The product of its (nonzero) digits is 2939328, while the sum is 47.

The spelling of 36634066337 in words is "thirty-six billion, six hundred thirty-four million, sixty-six thousand, three hundred thirty-seven".