1000720800960 has 448 divisors, whose sum is σ = 3494160875520. Its totient is φ = 241699368960.

The previous prime is 1000720800949. The next prime is 1000720800967. The reversal of 1000720800960 is 690080270001.

It is not an unprimeable number, because it can be changed into a prime (1000720800967) 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 63 ways as a sum of consecutive naturals, for example, 46920859 + ... + 46942181.

It is an arithmetic number, because the mean of its divisors is an integer number (7799466240).

Almost surely, 2^{1000720800960} is an apocalyptic number.

1000720800960 is a gapful number since it is divisible by the number (10) 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 1000720800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1747080437760).

1000720800960 is an abundant number, since it is smaller than the sum of its proper divisors (2493440074560).

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

1000720800960 is a wasteful number, since it uses less digits than its factorization.

1000720800960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21476 (or 21466 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The spelling of 1000720800960 in words is "one trillion, seven hundred twenty million, eight hundred thousand, nine hundred sixty".