36774400000 has 468 divisors, whose sum is σ = 105388387524. Its totient is φ = 12779520000.

The previous prime is 36774399989. The next prime is 36774400009. The reversal of 36774400000 is 447763.

It can be written as a sum of positive squares in 18 ways, for example, as 25131126784 + 11643273216 = 158528^2 + 107904^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36774400009) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2163199992 + ... + 2163200008.

Almost surely, 2^36774400000 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 36774400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52694193762).

36774400000 is an abundant number, since it is smaller than the sum of its proper divisors (68613987524).

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

36774400000 is an frugal number, since it uses more digits than its factorization.

36774400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 31.

Adding to 36774400000 its reverse (447763), we get a palindrome (36774847763).

The spelling of 36774400000 in words is "thirty-six billion, seven hundred seventy-four million, four hundred thousand".