36363825792 has 768 divisors, whose sum is σ = 139312742400. Its totient is φ = 8846475264.

The previous prime is 36363825761. The next prime is 36363825803. The reversal of 36363825792 is 29752836363.

It is a happy number.

36363825792 is a `hidden beast` number, since 3 + 6 + 3 + 63 + 8 + 2 + 579 + 2 = 666.

36363825792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 59907153 + ... + 59907759.

It is an arithmetic number, because the mean of its divisors is an integer number (181396800).

Almost surely, 2^36363825792 is an apocalyptic number.

36363825792 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 36363825792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69656371200).

36363825792 is an abundant number, since it is smaller than the sum of its proper divisors (102948916608).

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

36363825792 is a wasteful number, since it uses less digits than its factorization.

36363825792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 678 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 54.

The spelling of 36363825792 in words is "thirty-six billion, three hundred sixty-three million, eight hundred twenty-five thousand, seven hundred ninety-two".