90327609036 has 288 divisors, whose sum is σ = 270138960000. Its totient is φ = 24919695360.

The previous prime is 90327609013. The next prime is 90327609041. The reversal of 90327609036 is 63090672309.

90327609036 is a `hidden beast` number, since 9 + 0 + 3 + 2 + 7 + 609 + 0 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 90327608982 and 90327609000.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 258818190 + ... + 258818538.

It is an arithmetic number, because the mean of its divisors is an integer number (937982500).

Almost surely, 2^90327609036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90327609036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135069480000).

90327609036 is an abundant number, since it is smaller than the sum of its proper divisors (179811350964).

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

90327609036 is a wasteful number, since it uses less digits than its factorization.

90327609036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The spelling of 90327609036 in words is "ninety billion, three hundred twenty-seven million, six hundred nine thousand, thirty-six".