90424320840 has 640 divisors, whose sum is σ = 363562214400. Its totient is φ = 19725742080.

The previous prime is 90424320827. The next prime is 90424320859. The reversal of 90424320840 is 4802342409.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 90424320795 and 90424320804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 43703326 + ... + 43705394.

It is an arithmetic number, because the mean of its divisors is an integer number (568065960).

Almost surely, 2^90424320840 is an apocalyptic number.

90424320840 is a gapful number since it is divisible by the number (90) 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 90424320840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181781107200).

90424320840 is an abundant number, since it is smaller than the sum of its proper divisors (273137893560).

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

90424320840 is a wasteful number, since it uses less digits than its factorization.

90424320840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2187 (or 2174 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 90424320840 in words is "ninety billion, four hundred twenty-four million, three hundred twenty thousand, eight hundred forty".