990956272768 has 256 divisors, whose sum is σ = 2499564672000. Its totient is φ = 380130693120.

The previous prime is 990956272729. The next prime is 990956272771. The reversal of 990956272768 is 867272659099.

It is a junction number, because it is equal to n+sod(n) for n = 990956272697 and 990956272706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175108723 + ... + 175114381.

It is an arithmetic number, because the mean of its divisors is an integer number (9763924500).

Almost surely, 2^990956272768 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 990956272768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249782336000).

990956272768 is an abundant number, since it is smaller than the sum of its proper divisors (1508608399232).

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

990956272768 is a wasteful number, since it uses less digits than its factorization.

990956272768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5963 (or 5951 counting only the distinct ones).

The product of its (nonzero) digits is 205752960, while the sum is 70.

The spelling of 990956272768 in words is "nine hundred ninety billion, nine hundred fifty-six million, two hundred seventy-two thousand, seven hundred sixty-eight".