990296616960 has 1872 divisors, whose sum is σ = 4307133422592. Its totient is φ = 217379635200.

The previous prime is 990296616931. The next prime is 990296616961. The reversal of 990296616960 is 69616692099.

990296616960 is a `hidden beast` number, since 9 + 9 + 0 + 2 + 9 + 6 + 616 + 9 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (990296616961) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7559516095 + ... + 7559516225.

It is an arithmetic number, because the mean of its divisors is an integer number (2300819136).

Almost surely, 2^990296616960 is an apocalyptic number.

990296616960 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 990296616960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2153566711296).

990296616960 is an abundant number, since it is smaller than the sum of its proper divisors (3316836805632).

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

990296616960 is a wasteful number, since it uses less digits than its factorization.

990296616960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 17006112, while the sum is 63.

The spelling of 990296616960 in words is "nine hundred ninety billion, two hundred ninety-six million, six hundred sixteen thousand, nine hundred sixty".