990816583680 has 1440 divisors, whose sum is σ = 4428244574208. Its totient is φ = 198888652800.

The previous prime is 990816583661. The next prime is 990816583681. The reversal of 990816583680 is 86385618099.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990816583681) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1759887079 + ... + 1759887641.

Almost surely, 2^990816583680 is an apocalyptic number.

990816583680 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 990816583680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2214122287104).

990816583680 is an abundant number, since it is smaller than the sum of its proper divisors (3437427990528).

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

990816583680 is a wasteful number, since it uses less digits than its factorization.

990816583680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 990816583680 in words is "nine hundred ninety billion, eight hundred sixteen million, five hundred eighty-three thousand, six hundred eighty".