36823561528320 has 1848 divisors, whose sum is σ = 154774667363904. Its totient is φ = 8402475368448.

The previous prime is 36823561528267. The next prime is 36823561528331. The reversal of 36823561528320 is 2382516532863.

36823561528320 is a `hidden beast` number, since 3 + 6 + 8 + 2 + 3 + 561 + 52 + 8 + 3 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 62731791067 + ... + 62731791653.

Almost surely, 2^{36823561528320} is an apocalyptic number.

36823561528320 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 36823561528320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77387333681952).

36823561528320 is an abundant number, since it is smaller than the sum of its proper divisors (117951105835584).

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

36823561528320 is an frugal number, since it uses more digits than its factorization.

36823561528320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 36823561528320 in words is "thirty-six trillion, eight hundred twenty-three billion, five hundred sixty-one million, five hundred twenty-eight thousand, three hundred twenty".