1768424064 has 128 divisors (see below), whose sum is σ = 5140800000. Its totient is φ = 534174720.

The previous prime is 1768424057. The next prime is 1768424083. The reversal of 1768424064 is 4604248671.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2107357 + ... + 2108195.

It is an arithmetic number, because the mean of its divisors is an integer number (40162500).

Almost surely, 2^1768424064 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 1768424064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2570400000).

1768424064 is an abundant number, since it is smaller than the sum of its proper divisors (3372375936).

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

1768424064 is a wasteful number, since it uses less digits than its factorization.

1768424064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 1768424064 is about 42052.6344477965. The cubic root of 1768424064 is about 1209.2853882095.

The spelling of 1768424064 in words is "one billion, seven hundred sixty-eight million, four hundred twenty-four thousand, sixty-four".