6419185664 has 68 divisors (see below), whose sum is σ = 13156906980. Its totient is φ = 3129999360.

The previous prime is 6419185651. The next prime is 6419185697. The reversal of 6419185664 is 4665819146.

It can be written as a sum of positive squares in 2 ways, for example, as 792985600 + 5626200064 = 28160^2 + 75008^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2685782 + ... + 2688170.

Almost surely, 2^6419185664 is an apocalyptic number.

6419185664 is a gapful number since it is divisible by the number (64) 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 6419185664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6578453490).

6419185664 is an abundant number, since it is smaller than the sum of its proper divisors (6737721316).

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

6419185664 is an frugal number, since it uses more digits than its factorization.

6419185664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2462 (or 2432 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 50.

The square root of 6419185664 is about 80119.8206687958. The cubic root of 6419185664 is about 1858.4889319080.

The spelling of 6419185664 in words is "six billion, four hundred nineteen million, one hundred eighty-five thousand, six hundred sixty-four".