36768308480 has 72 divisors (see below), whose sum is σ = 88765458432. Its totient is φ = 14591453184.

The previous prime is 36768308417. The next prime is 36768308491. The reversal of 36768308480 is 8480386763.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 49469 + ... + 275651.

Almost surely, 2^36768308480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36768308480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44382729216).

36768308480 is an abundant number, since it is smaller than the sum of its proper divisors (51997149952).

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

36768308480 is a wasteful number, since it uses less digits than its factorization.

36768308480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226331 (or 226317 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 53.

The spelling of 36768308480 in words is "thirty-six billion, seven hundred sixty-eight million, three hundred eight thousand, four hundred eighty".