36658806800 has 480 divisors, whose sum is σ = 118547483904. Its totient is φ = 10543104000.

The previous prime is 36658806787. The next prime is 36658806803. The reversal of 36658806800 is 860885663.

It is a Smith number, since the sum of its digits (50) 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 (50).

It is not an unprimeable number, because it can be changed into a prime (36658806803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27750140 + ... + 27751460.

Almost surely, 2^36658806800 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 36658806800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59273741952).

36658806800 is an abundant number, since it is smaller than the sum of its proper divisors (81888677104).

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

36658806800 is a wasteful number, since it uses less digits than its factorization.

36658806800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 50.

The spelling of 36658806800 in words is "thirty-six billion, six hundred fifty-eight million, eight hundred six thousand, eight hundred".