36399634782336 has 512 divisors, whose sum is σ = 123537125376000. Its totient is φ = 10335576637440.

The previous prime is 36399634782289. The next prime is 36399634782337. The reversal of 36399634782336 is 63328743699363.

36399634782336 is a `hidden beast` number, since 3 + 6 + 3 + 99 + 63 + 478 + 2 + 3 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (36399634782337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5817422920 + ... + 5817429176.

It is an arithmetic number, because the mean of its divisors is an integer number (241283448000).

Almost surely, 2^{36399634782336} is an apocalyptic number.

36399634782336 is a gapful number since it is divisible by the number (36) 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 36399634782336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61768562688000).

36399634782336 is an abundant number, since it is smaller than the sum of its proper divisors (87137490593664).

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

36399634782336 is a wasteful number, since it uses less digits than its factorization.

36399634782336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7737 (or 7719 counting only the distinct ones).

The product of its digits is 1904684544, while the sum is 72.

The spelling of 36399634782336 in words is "thirty-six trillion, three hundred ninety-nine billion, six hundred thirty-four million, seven hundred eighty-two thousand, three hundred thirty-six".