36561592320 has 336 divisors, whose sum is σ = 128644558560. Its totient is φ = 8859811840.

The previous prime is 36561592313. The next prime is 36561592349. The reversal of 36561592320 is 2329516563.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14867251 + ... + 14869709.

It is an arithmetic number, because the mean of its divisors is an integer number (382870710).

Almost surely, 2^36561592320 is an apocalyptic number.

36561592320 is a gapful number since it is divisible by the number (30) 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 36561592320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64322279280).

36561592320 is an abundant number, since it is smaller than the sum of its proper divisors (92082966240).

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

36561592320 is a wasteful number, since it uses less digits than its factorization.

36561592320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2515 (or 2480 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 42.

It can be divided in two parts, 36561 and 592320, that added together give a triangular number (628881 = T₁₁₂₁).

The spelling of 36561592320 in words is "thirty-six billion, five hundred sixty-one million, five hundred ninety-two thousand, three hundred twenty".