6381219804960 has 4608 divisors, whose sum is σ = 31135452364800. Its totient is φ = 1062744883200.

The previous prime is 6381219804941. The next prime is 6381219805063. The reversal of 6381219804960 is 694089121836.

It is a self number, because there is not a number n which added to its sum of digits gives 6381219804960.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 80774934201 + ... + 80774934279.

It is an arithmetic number, because the mean of its divisors is an integer number (6756825600).

Almost surely, 2^{6381219804960} is an apocalyptic number.

6381219804960 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 6381219804960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15567726182400).

6381219804960 is an abundant number, since it is smaller than the sum of its proper divisors (24754232559840).

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

6381219804960 is a wasteful number, since it uses less digits than its factorization.

6381219804960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 57.

The spelling of 6381219804960 in words is "six trillion, three hundred eighty-one billion, two hundred nineteen million, eight hundred four thousand, nine hundred sixty".