36362075904 has 432 divisors, whose sum is σ = 135099569920. Its totient is φ = 9443174400.

The previous prime is 36362075899. The next prime is 36362075909. The reversal of 36362075904 is 40957026363.

36362075904 is a `hidden beast` number, since 3 + 6 + 36 + 20 + 7 + 590 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (36362075899) and next prime (36362075909).

It is a tau number, because it is divible by the number of its divisors (432).

It is a self number, because there is not a number n which added to its sum of digits gives 36362075904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36362075909) 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 in 47 ways as a sum of consecutive naturals, for example, 5851359 + ... + 5857569.

Almost surely, 2^36362075904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36362075904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67549784960).

36362075904 is an abundant number, since it is smaller than the sum of its proper divisors (98737494016).

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

36362075904 is a wasteful number, since it uses less digits than its factorization.

36362075904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6265 (or 6234 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 36362075904 in words is "thirty-six billion, three hundred sixty-two million, seventy-five thousand, nine hundred four".