36725520384 has 576 divisors, whose sum is σ = 127849176000. Its totient is φ = 10144382976.

The previous prime is 36725520353. The next prime is 36725520409. The reversal of 36725520384 is 48302552763.

36725520384 is a `hidden beast` number, since 3 + 67 + 2 + 552 + 0 + 38 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 233920434 + ... + 233920590.

It is an arithmetic number, because the mean of its divisors is an integer number (221960375).

Almost surely, 2^36725520384 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 36725520384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63924588000).

36725520384 is an abundant number, since it is smaller than the sum of its proper divisors (91123655616).

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

36725520384 is a wasteful number, since it uses less digits than its factorization.

36725520384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 36725520384 in words is "thirty-six billion, seven hundred twenty-five million, five hundred twenty thousand, three hundred eighty-four".