36564128832 has 224 divisors, whose sum is σ = 120929034240. Its totient is φ = 9472389120.

The previous prime is 36564128831. The next prime is 36564128849. The reversal of 36564128832 is 23882146563.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (36564128831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6043633 + ... + 6049679.

It is an arithmetic number, because the mean of its divisors is an integer number (539861760).

Almost surely, 2^36564128832 is an apocalyptic number.

36564128832 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 36564128832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60464517120).

36564128832 is an abundant number, since it is smaller than the sum of its proper divisors (84364905408).

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

36564128832 is a wasteful number, since it uses less digits than its factorization.

36564128832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6489 (or 6479 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 48.

The spelling of 36564128832 in words is "thirty-six billion, five hundred sixty-four million, one hundred twenty-eight thousand, eight hundred thirty-two".