36765952572800 has 192 divisors, whose sum is σ = 99098109547200. Its totient is φ = 13367002368000.

The previous prime is 36765952572781. The next prime is 36765952572803. The reversal of 36765952572800 is 827525956763.

It is a super-3 number, since 3×36765952572800³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36765952572803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199104515 + ... + 199289085.

It is an arithmetic number, because the mean of its divisors is an integer number (516135987225).

Almost surely, 2^{36765952572800} 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 36765952572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49549054773600).

36765952572800 is an abundant number, since it is smaller than the sum of its proper divisors (62332156974400).

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

36765952572800 is a wasteful number, since it uses less digits than its factorization.

36765952572800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190265 (or 190248 counting only the distinct ones).

The product of its (nonzero) digits is 190512000, while the sum is 65.

The spelling of 36765952572800 in words is "thirty-six trillion, seven hundred sixty-five billion, nine hundred fifty-two million, five hundred seventy-two thousand, eight hundred".