6419491916864 has 112 divisors (see below), whose sum is σ = 13926762494400. Its totient is φ = 2917901961216.

The previous prime is 6419491916861. The next prime is 6419491916917. The reversal of 6419491916864 is 4686191949146.

It is a junction number, because it is equal to n+sod(n) for n = 6419491916794 and 6419491916803.

It is not an unprimeable number, because it can be changed into a prime (6419491916861) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273635567 + ... + 273659025.

It is an arithmetic number, because the mean of its divisors is an integer number (124346093700).

Almost surely, 2^{6419491916864} is an apocalyptic number.

6419491916864 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 6419491916864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6963381247200).

6419491916864 is an abundant number, since it is smaller than the sum of its proper divisors (7507270577536).

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

6419491916864 is a wasteful number, since it uses less digits than its factorization.

6419491916864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28460 (or 28450 counting only the distinct ones).

The product of its digits is 80621568, while the sum is 68.

The spelling of 6419491916864 in words is "six trillion, four hundred nineteen billion, four hundred ninety-one million, nine hundred sixteen thousand, eight hundred sixty-four".