990504248760 has 768 divisors, whose sum is σ = 3772442419200. Its totient is φ = 223382016000.

The previous prime is 990504248759. The next prime is 990504248761. The reversal of 990504248760 is 67842405099.

990504248760 is a `hidden beast` number, since 9 + 90 + 50 + 424 + 87 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (990504248759) and next prime (990504248761).

It is a super-2 number, since 2×990504248760² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 990504248697 and 990504248706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (990504248761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 337019371 + ... + 337022309.

It is an arithmetic number, because the mean of its divisors is an integer number (4912034400).

Almost surely, 2^990504248760 is an apocalyptic number.

990504248760 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 990504248760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886221209600).

990504248760 is an abundant number, since it is smaller than the sum of its proper divisors (2781938170440).

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

990504248760 is a wasteful number, since it uses less digits than its factorization.

990504248760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3124 (or 3117 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 990504248760 in words is "nine hundred ninety billion, five hundred four million, two hundred forty-eight thousand, seven hundred sixty".