36352825933632 has 224 divisors, whose sum is σ = 103886431434240. Its totient is φ = 11152659087360.

The previous prime is 36352825933597. The next prime is 36352825933643. The reversal of 36352825933632 is 23633952825363.

It is a super-2 number, since 2×36352825933632² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3682785657 + ... + 3682795527.

It is an arithmetic number, because the mean of its divisors is an integer number (463778711760).

Almost surely, 2^{36352825933632} is an apocalyptic number.

36352825933632 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 36352825933632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51943215717120).

36352825933632 is an abundant number, since it is smaller than the sum of its proper divisors (67533605500608).

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

36352825933632 is a wasteful number, since it uses less digits than its factorization.

36352825933632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14081 (or 14071 counting only the distinct ones).

The product of its digits is 125971200, while the sum is 60.

The spelling of 36352825933632 in words is "thirty-six trillion, three hundred fifty-two billion, eight hundred twenty-five million, nine hundred thirty-three thousand, six hundred thirty-two".