36603206640 has 1920 divisors, whose sum is σ = 181755033600. Its totient is φ = 6651279360.

The previous prime is 36603206623. The next prime is 36603206663. The reversal of 36603206640 is 4660230663.

36603206640 is a `hidden beast` number, since 3 + 6 + 6 + 0 + 3 + 2 + 0 + 6 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 36603206595 and 36603206604.

It is a congruent number.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 1926484551 + ... + 1926484569.

It is an arithmetic number, because the mean of its divisors is an integer number (94664080).

Almost surely, 2^36603206640 is an apocalyptic number.

36603206640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36603206640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90877516800).

36603206640 is an abundant number, since it is smaller than the sum of its proper divisors (145151826960).

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

36603206640 is a wasteful number, since it uses less digits than its factorization.

36603206640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 36603206640 in words is "thirty-six billion, six hundred three million, two hundred six thousand, six hundred forty".