36769636800 has 672 divisors, whose sum is σ = 145485063360. Its totient is φ = 8980070400.

The previous prime is 36769636751. The next prime is 36769636801. The reversal of 36769636800 is 863696763.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (36769636801) 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 95 ways as a sum of consecutive naturals, for example, 130852660 + ... + 130852940.

It is an arithmetic number, because the mean of its divisors is an integer number (216495630).

Almost surely, 2^36769636800 is an apocalyptic number.

36769636800 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 36769636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72742531680).

36769636800 is an abundant number, since it is smaller than the sum of its proper divisors (108715426560).

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

36769636800 is a wasteful number, since it uses less digits than its factorization.

36769636800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

It can be divided in two parts, 367696 and 36800, that added together give a square (404496 = 636²).

The spelling of 36769636800 in words is "thirty-six billion, seven hundred sixty-nine million, six hundred thirty-six thousand, eight hundred".