1768405440 has 224 divisors, whose sum is σ = 5806805760. Its totient is φ = 455680000.

The previous prime is 1768405423. The next prime is 1768405451. The reversal of 1768405440 is 445048671.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7045315 + ... + 7045565.

It is an arithmetic number, because the mean of its divisors is an integer number (25923240).

Almost surely, 2^1768405440 is an apocalyptic number.

1768405440 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 1768405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2903402880).

1768405440 is an abundant number, since it is smaller than the sum of its proper divisors (4038400320).

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

1768405440 is a wasteful number, since it uses less digits than its factorization.

1768405440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 1768405440 is about 42052.4130104326. The cubic root of 1768405440 is about 1209.2811430343.

The spelling of 1768405440 in words is "one billion, seven hundred sixty-eight million, four hundred five thousand, four hundred forty".