36905336964 has 240 divisors, whose sum is σ = 107733521280. Its totient is φ = 10962293760.

The previous prime is 36905336947. The next prime is 36905336999. The reversal of 36905336964 is 46963350963.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 36905336964.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8634732 + ... + 8639004.

It is an arithmetic number, because the mean of its divisors is an integer number (448889672).

Almost surely, 2^36905336964 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 36905336964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53866760640).

36905336964 is an abundant number, since it is smaller than the sum of its proper divisors (70828184316).

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

36905336964 is a wasteful number, since it uses less digits than its factorization.

36905336964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4392 (or 4381 counting only the distinct ones).

The product of its (nonzero) digits is 9447840, while the sum is 54.

The spelling of 36905336964 in words is "thirty-six billion, nine hundred five million, three hundred thirty-six thousand, nine hundred sixty-four".