36788341056000 has 1280 divisors, whose sum is σ = 128027713701888. Its totient is φ = 9364045824000.

The previous prime is 36788341055987. The next prime is 36788341056007. The reversal of 36788341056000 is 65014388763.

It is a tau number, because it is divible by the number of its divisors (1280).

It is not an unprimeable number, because it can be changed into a prime (36788341056007) 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 127 ways as a sum of consecutive naturals, for example, 135750335865 + ... + 135750336135.

Almost surely, 2^{36788341056000} is an apocalyptic number.

36788341056000 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 36788341056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64013856850944).

36788341056000 is an abundant number, since it is smaller than the sum of its proper divisors (91239372645888).

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

36788341056000 is a wasteful number, since it uses less digits than its factorization.

36788341056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 36788341056000 in words is "thirty-six trillion, seven hundred eighty-eight billion, three hundred forty-one million, fifty-six thousand".