1718676960 has 768 divisors, whose sum is σ = 7518873600. Its totient is φ = 325140480.

The previous prime is 1718676893. The next prime is 1718676979. The reversal of 1718676960 is 696768171.

1718676960 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23543484 + ... + 23543556.

It is an arithmetic number, because the mean of its divisors is an integer number (9790200).

Almost surely, 2^1718676960 is an apocalyptic number.

1718676960 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 1718676960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3759436800).

1718676960 is an abundant number, since it is smaller than the sum of its proper divisors (5800196640).

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

1718676960 is a wasteful number, since it uses less digits than its factorization.

1718676960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 51.

The square root of 1718676960 is about 41456.9289745393. The cubic root of 1718676960 is about 1197.8379960105.

The spelling of 1718676960 in words is "one billion, seven hundred eighteen million, six hundred seventy-six thousand, nine hundred sixty".