36480017007 has 96 divisors (see below), whose sum is σ = 64212825600. Its totient is φ = 20403000576.

The previous prime is 36480016981. The next prime is 36480017051. The reversal of 36480017007 is 70071008463.

36480017007 is a `hidden beast` number, since 3 + 6 + 480 + 0 + 170 + 0 + 7 = 666.

It is not a de Polignac number, because 36480017007 - 2⁶ = 36480016943 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36480017507) 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 95 ways as a sum of consecutive naturals, for example, 20528103 + ... + 20529879.

It is an arithmetic number, because the mean of its divisors is an integer number (668883600).

Almost surely, 2^36480017007 is an apocalyptic number.

36480017007 is a deficient number, since it is larger than the sum of its proper divisors (27732808593).

36480017007 is a wasteful number, since it uses less digits than its factorization.

36480017007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 36480017007 in words is "thirty-six billion, four hundred eighty million, seventeen thousand, seven".