36430738616832 has 720 divisors, whose sum is σ = 118649832665760. Its totient is φ = 9901126287360.

The previous prime is 36430738616809. The next prime is 36430738616843. The reversal of 36430738616832 is 23861683703463.

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 71 ways as a sum of consecutive naturals, for example, 4267389268 + ... + 4267397804.

It is an arithmetic number, because the mean of its divisors is an integer number (164791434258).

Almost surely, 2^{36430738616832} is an apocalyptic number.

36430738616832 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 36430738616832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59324916332880).

36430738616832 is an abundant number, since it is smaller than the sum of its proper divisors (82219094048928).

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

36430738616832 is an equidigital number, since it uses as much as digits as its factorization.

36430738616832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8693 (or 8639 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 60.

The spelling of 36430738616832 in words is "thirty-six trillion, four hundred thirty billion, seven hundred thirty-eight million, six hundred sixteen thousand, eight hundred thirty-two".