1768868640 has 864 divisors, whose sum is σ = 7986154176. Its totient is φ = 352235520.

The previous prime is 1768868627. The next prime is 1768868687. The reversal of 1768868640 is 468688671.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33374854 + ... + 33374906.

It is an arithmetic number, because the mean of its divisors is an integer number (9243234).

Almost surely, 2^1768868640 is an apocalyptic number.

1768868640 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 1768868640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3993077088).

1768868640 is an abundant number, since it is smaller than the sum of its proper divisors (6217285536).

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

1768868640 is a wasteful number, since it uses less digits than its factorization.

1768868640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 1768868640 is about 42057.9200626945. The cubic root of 1768868640 is about 1209.3867165101.

The spelling of 1768868640 in words is "one billion, seven hundred sixty-eight million, eight hundred sixty-eight thousand, six hundred forty".