1768471040 has 320 divisors, whose sum is σ = 5197167360. Its totient is φ = 564264960.

The previous prime is 1768471013. The next prime is 1768471057. The reversal of 1768471040 is 401748671.

It is a tau number, because it is divible by the number of its divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 1768470985 and 1768471003.

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, 21306839 + ... + 21306921.

It is an arithmetic number, because the mean of its divisors is an integer number (16241148).

Almost surely, 2^1768471040 is an apocalyptic number.

1768471040 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 1768471040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2598583680).

1768471040 is an abundant number, since it is smaller than the sum of its proper divisors (3428696320).

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

1768471040 is an equidigital number, since it uses as much as digits as its factorization.

1768471040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 38.

The square root of 1768471040 is about 42053.1929822219. The cubic root of 1768471040 is about 1209.2960958387.

The spelling of 1768471040 in words is "one billion, seven hundred sixty-eight million, four hundred seventy-one thousand, forty".