6419179872 has 288 divisors, whose sum is σ = 22248862272. Its totient is φ = 1713733632.

The previous prime is 6419179861. The next prime is 6419179903. The reversal of 6419179872 is 2789719146.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5380108 + ... + 5381300.

It is an arithmetic number, because the mean of its divisors is an integer number (77252994).

Almost surely, 2^6419179872 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 6419179872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11124431136).

6419179872 is an abundant number, since it is smaller than the sum of its proper divisors (15829682400).

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

6419179872 is a wasteful number, since it uses less digits than its factorization.

6419179872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 1379 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 54.

The square root of 6419179872 is about 80119.7845229254. The cubic root of 6419179872 is about 1858.4883729393.

The spelling of 6419179872 in words is "six billion, four hundred nineteen million, one hundred seventy-nine thousand, eight hundred seventy-two".