36616780800 has 198 divisors, whose sum is σ = 131106223248. Its totient is φ = 9764413440.

The previous prime is 36616780793. The next prime is 36616780807. The reversal of 36616780800 is 808761663.

It is an interprime number because it is at equal distance from previous prime (36616780793) and next prime (36616780807).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36616780807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 150937 + ... + 309863.

Almost surely, 2^36616780800 is an apocalyptic number.

36616780800 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 36616780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65553111624).

36616780800 is an abundant number, since it is smaller than the sum of its proper divisors (94489442448).

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

36616780800 is a wasteful number, since it uses less digits than its factorization.

36616780800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158963 (or 158937 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 36616780800 in words is "thirty-six billion, six hundred sixteen million, seven hundred eighty thousand, eight hundred".