6419120605920 has 576 divisors, whose sum is σ = 25511559353280. Its totient is φ = 1464604753920.

The previous prime is 6419120605873. The next prime is 6419120605939. The reversal of 6419120605920 is 295060219146.

6419120605920 is a `hidden beast` number, since 6 + 4 + 1 + 9 + 12 + 0 + 605 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32484376 + ... + 32681384.

It is an arithmetic number, because the mean of its divisors is an integer number (44290901655).

Almost surely, 2^{6419120605920} is an apocalyptic number.

6419120605920 is a gapful number since it is divisible by the number (60) 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 6419120605920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12755779676640).

6419120605920 is an abundant number, since it is smaller than the sum of its proper divisors (19092438747360).

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

6419120605920 is a wasteful number, since it uses less digits than its factorization.

6419120605920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197080 (or 197047 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 6419120605920 in words is "six trillion, four hundred nineteen billion, one hundred twenty million, six hundred five thousand, nine hundred twenty".