1768640616 has 96 divisors (see below), whose sum is σ = 5036673600. Its totient is φ = 575049600.

The previous prime is 1768640567. The next prime is 1768640623. The reversal of 1768640616 is 6160468671.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 360661 + ... + 365531.

It is an arithmetic number, because the mean of its divisors is an integer number (52465350).

Almost surely, 2^1768640616 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 1768640616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2518336800).

1768640616 is an abundant number, since it is smaller than the sum of its proper divisors (3268032984).

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

1768640616 is a wasteful number, since it uses less digits than its factorization.

1768640616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4968 (or 4917 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1768640616 is about 42055.2091422692. The cubic root of 1768640616 is about 1209.3347471249.

The spelling of 1768640616 in words is "one billion, seven hundred sixty-eight million, six hundred forty thousand, six hundred sixteen".