6438019896 has 288 divisors, whose sum is σ = 22046824800. Its totient is φ = 1661299200.

The previous prime is 6438019853. The next prime is 6438019933. The reversal of 6438019896 is 6989108346.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13965106 + ... + 13965566.

It is an arithmetic number, because the mean of its divisors is an integer number (76551475).

Almost surely, 2^6438019896 is an apocalyptic number.

6438019896 is a gapful number since it is divisible by the number (66) 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 6438019896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11023412400).

6438019896 is an abundant number, since it is smaller than the sum of its proper divisors (15608804904).

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

6438019896 is a wasteful number, since it uses less digits than its factorization.

6438019896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 6438019896 is about 80237.2724860460. The cubic root of 6438019896 is about 1860.3047922302.

The spelling of 6438019896 in words is "six billion, four hundred thirty-eight million, nineteen thousand, eight hundred ninety-six".