36802019072 has 144 divisors (see below), whose sum is σ = 90853281792. Its totient is φ = 14488104960.

The previous prime is 36802018951. The next prime is 36802019077. The reversal of 36802019072 is 27091020863.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36802019077) 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 15 ways as a sum of consecutive naturals, for example, 4911713 + ... + 4919199.

It is an arithmetic number, because the mean of its divisors is an integer number (630925568).

Almost surely, 2^36802019072 is an apocalyptic number.

36802019072 is a gapful number since it is divisible by the number (32) 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 36802019072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45426640896).

36802019072 is an abundant number, since it is smaller than the sum of its proper divisors (54051262720).

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

36802019072 is a wasteful number, since it uses less digits than its factorization.

36802019072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7734 (or 7720 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The spelling of 36802019072 in words is "thirty-six billion, eight hundred two million, nineteen thousand, seventy-two".