36600483725952 has 128 divisors (see below), whose sum is σ = 97368397056000. Its totient is φ = 12181553839104.

The previous prime is 36600483725951. The next prime is 36600483726011. The reversal of 36600483725952 is 25952738400663.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (36600483725951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 973942299 + ... + 973979877.

It is an arithmetic number, because the mean of its divisors is an integer number (760690602000).

Almost surely, 2^{36600483725952} is an apocalyptic number.

36600483725952 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 36600483725952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48684198528000).

36600483725952 is an abundant number, since it is smaller than the sum of its proper divisors (60767913330048).

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

36600483725952 is a wasteful number, since it uses less digits than its factorization.

36600483725952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41398 (or 41386 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 60.

The spelling of 36600483725952 in words is "thirty-six trillion, six hundred billion, four hundred eighty-three million, seven hundred twenty-five thousand, nine hundred fifty-two".