6419093281920 has 768 divisors, whose sum is σ = 24338130860160. Its totient is φ = 1546076160000.

The previous prime is 6419093281919. The next prime is 6419093281961. The reversal of 6419093281920 is 291823909146.

6419093281920 is a `hidden beast` number, since 6 + 4 + 190 + 93 + 281 + 92 + 0 = 666.

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, 11865236850 + ... + 11865237390.

Almost surely, 2^{6419093281920} is an apocalyptic number.

6419093281920 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 6419093281920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12169065430080).

6419093281920 is an abundant number, since it is smaller than the sum of its proper divisors (17919037578240).

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

6419093281920 is a wasteful number, since it uses less digits than its factorization.

6419093281920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 6419093281920 in words is "six trillion, four hundred nineteen billion, ninety-three million, two hundred eighty-one thousand, nine hundred twenty".