990869735680 has 864 divisors, whose sum is σ = 3012337641600. Its totient is φ = 309740175360.

The previous prime is 990869735677. The next prime is 990869735701. The reversal of 990869735680 is 86537968099.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1450760619 + ... + 1450761301.

It is an arithmetic number, because the mean of its divisors is an integer number (3486501900).

Almost surely, 2^990869735680 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 990869735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506168820800).

990869735680 is an abundant number, since it is smaller than the sum of its proper divisors (2021467905920).

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

990869735680 is a wasteful number, since it uses less digits than its factorization.

990869735680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 70.

The spelling of 990869735680 in words is "nine hundred ninety billion, eight hundred sixty-nine million, seven hundred thirty-five thousand, six hundred eighty".