1001968800 has 576 divisors, whose sum is σ = 4069739520. Its totient is φ = 209018880.

The previous prime is 1001968787. The next prime is 1001968811. The reversal of 1001968800 is 88691001.

1001968800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 13725564 + ... + 13725636.

It is an arithmetic number, because the mean of its divisors is an integer number (7065520).

Almost surely, 2^1001968800 is an apocalyptic number.

1001968800 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 1001968800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2034869760).

1001968800 is an abundant number, since it is smaller than the sum of its proper divisors (3067770720).

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

1001968800 is a wasteful number, since it uses less digits than its factorization.

1001968800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The square root of 1001968800 is about 31653.8907561140. The cubic root of 1001968800 is about 1000.6558364512.

The spelling of 1001968800 in words is "one billion, one million, nine hundred sixty-eight thousand, eight hundred".