36880129764 has 135 divisors (see below), whose sum is σ = 98942770003. Its totient is φ = 11978811792.

The previous prime is 36880129757. The next prime is 36880129771. The reversal of 36880129764 is 46792108863.

The square root of 36880129764 is 192042.

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

It is an interprime number because it is at equal distance from previous prime (36880129757) and next prime (36880129771).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 36880129764.

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 44 ways as a sum of consecutive naturals, for example, 162467419 + ... + 162467645.

Almost surely, 2^36880129764 is an apocalyptic number.

36880129764 is the 192042-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36880129764

36880129764 is an abundant number, since it is smaller than the sum of its proper divisors (62062640239).

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

36880129764 is an equidigital number, since it uses as much as digits as its factorization.

36880129764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 36880129764 in words is "thirty-six billion, eight hundred eighty million, one hundred twenty-nine thousand, seven hundred sixty-four".