90446784000 has 640 divisors, whose sum is σ = 312537139200. Its totient is φ = 23194828800.

The previous prime is 90446783957. The next prime is 90446784011. The reversal of 90446784000 is 48764409.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1016255956 + ... + 1016256044.

It is an arithmetic number, because the mean of its divisors is an integer number (488339280).

Almost surely, 2^90446784000 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 90446784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156268569600).

90446784000 is an abundant number, since it is smaller than the sum of its proper divisors (222090355200).

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

90446784000 is an equidigital number, since it uses as much as digits as its factorization.

90446784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 90446784000 in words is "ninety billion, four hundred forty-six million, seven hundred eighty-four thousand".