36721889568 has 384 divisors, whose sum is σ = 133808855040. Its totient is φ = 9538974720.

The previous prime is 36721889543. The next prime is 36721889569. The reversal of 36721889568 is 86598812763.

36721889568 is a `hidden beast` number, since 3 + 67 + 2 + 1 + 8 + 8 + 9 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (36721889569) 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 63 ways as a sum of consecutive naturals, for example, 5264323 + ... + 5271293.

It is an arithmetic number, because the mean of its divisors is an integer number (348460560).

Almost surely, 2^36721889568 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 36721889568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66904427520).

36721889568 is an abundant number, since it is smaller than the sum of its proper divisors (97086965472).

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

36721889568 is a wasteful number, since it uses less digits than its factorization.

36721889568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7077 (or 7063 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 36721889568 in words is "thirty-six billion, seven hundred twenty-one million, eight hundred eighty-nine thousand, five hundred sixty-eight".