36684526378752 has 540 divisors, whose sum is σ = 127288040412456. Its totient is φ = 10477802926080.

The previous prime is 36684526378711. The next prime is 36684526378777. The reversal of 36684526378752 is 25787362548663.

36684526378752 is a `hidden beast` number, since 3 + 6 + 68 + 4 + 526 + 37 + 8 + 7 + 5 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5906376927 + ... + 5906383137.

Almost surely, 2^{36684526378752} is an apocalyptic number.

36684526378752 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 36684526378752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63644020206228).

36684526378752 is an abundant number, since it is smaller than the sum of its proper divisors (90603514033704).

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

36684526378752 is an equidigital number, since it uses as much as digits as its factorization.

36684526378752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12066 (or 12036 counting only the distinct ones).

The product of its digits is 2438553600, while the sum is 72.

The spelling of 36684526378752 in words is "thirty-six trillion, six hundred eighty-four billion, five hundred twenty-six million, three hundred seventy-eight thousand, seven hundred fifty-two".