36328890873600 has 4320 divisors, whose sum is σ = 161925025135104. Its totient is φ = 7949883801600.

The previous prime is 36328890873533. The next prime is 36328890873619. The reversal of 36328890873600 is 637809882363.

36328890873600 is a `hidden beast` number, since 3 + 6 + 32 + 88 + 90 + 87 + 360 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 188232595104 + ... + 188232595296.

Almost surely, 2^{36328890873600} is an apocalyptic number.

36328890873600 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 36328890873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80962512567552).

36328890873600 is an abundant number, since it is smaller than the sum of its proper divisors (125596134261504).

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

36328890873600 is a wasteful number, since it uses less digits than its factorization.

36328890873600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 36328890873600 in words is "thirty-six trillion, three hundred twenty-eight billion, eight hundred ninety million, eight hundred seventy-three thousand, six hundred".