36768829504 has 63 divisors (see below), whose sum is σ = 80235982911. Its totient is φ = 16705434240.

The previous prime is 36768829501. The next prime is 36768829523. The reversal of 36768829504 is 40592886763.

The square root of 36768829504 is 191752.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36768829501) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16873087 + ... + 16875265.

Almost surely, 2^36768829504 is an apocalyptic number.

36768829504 is the 191752-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36768829504

36768829504 is an abundant number, since it is smaller than the sum of its proper divisors (43467153407).

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

36768829504 is an frugal number, since it uses more digits than its factorization.

36768829504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4392 (or 2192 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 58.

The spelling of 36768829504 in words is "thirty-six billion, seven hundred sixty-eight million, eight hundred twenty-nine thousand, five hundred four".