36764243712 has 432 divisors, whose sum is σ = 128268358400. Its totient is φ = 10497973248.

The previous prime is 36764243701. The next prime is 36764243729. The reversal of 36764243712 is 21734246763.

It is a tau number, because it is divible by the number of its divisors (432).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21336483 + ... + 21338205.

Almost surely, 2^36764243712 is an apocalyptic number.

36764243712 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 36764243712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64134179200).

36764243712 is an abundant number, since it is smaller than the sum of its proper divisors (91504114688).

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

36764243712 is an frugal number, since it uses more digits than its factorization.

36764243712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1735 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 45.

The spelling of 36764243712 in words is "thirty-six billion, seven hundred sixty-four million, two hundred forty-three thousand, seven hundred twelve".