36863680784832 has 336 divisors, whose sum is σ = 115698816091872. Its totient is φ = 11129218007040.

The previous prime is 36863680784831. The next prime is 36863680784851. The reversal of 36863680784832 is 23848708636863.

36863680784832 is a `hidden beast` number, since 3 + 6 + 8 + 63 + 6 + 80 + 7 + 8 + 483 + 2 = 666.

It is a super-2 number, since 2×36863680784832² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36863680784831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1948697038 + ... + 1948715954.

Almost surely, 2^{36863680784832} is an apocalyptic number.

36863680784832 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 36863680784832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57849408045936).

36863680784832 is an abundant number, since it is smaller than the sum of its proper divisors (78835135307040).

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

36863680784832 is a wasteful number, since it uses less digits than its factorization.

36863680784832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20076 (or 20063 counting only the distinct ones).

The product of its (nonzero) digits is 1337720832, while the sum is 72.

The spelling of 36863680784832 in words is "thirty-six trillion, eight hundred sixty-three billion, six hundred eighty million, seven hundred eighty-four thousand, eight hundred thirty-two".