1944864768 has 192 divisors, whose sum is σ = 6466037760. Its totient is φ = 505036800.

The previous prime is 1944864767. The next prime is 1944864773. The reversal of 1944864768 is 8674684491.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (1944864767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 471033 + ... + 475143.

It is an arithmetic number, because the mean of its divisors is an integer number (33677280).

Almost surely, 2^1944864768 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 1944864768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3233018880).

1944864768 is an abundant number, since it is smaller than the sum of its proper divisors (4521172992).

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

1944864768 is a wasteful number, since it uses less digits than its factorization.

1944864768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4154 (or 4134 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 57.

The square root of 1944864768 is about 44100.6209480093. The cubic root of 1944864768 is about 1248.2353270893.

The spelling of 1944864768 in words is "one billion, nine hundred forty-four million, eight hundred sixty-four thousand, seven hundred sixty-eight".