6349819831880 has 192 divisors, whose sum is σ = 17629443072000. Its totient is φ = 2015425474560.

The previous prime is 6349819831879. The next prime is 6349819831903. The reversal of 6349819831880 is 881389189436.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (68).

It is a self number, because there is not a number n which added to its sum of digits gives 6349819831880.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4292921 + ... + 5579319.

It is an arithmetic number, because the mean of its divisors is an integer number (91820016000).

Almost surely, 2^{6349819831880} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6349819831880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8814721536000).

6349819831880 is an abundant number, since it is smaller than the sum of its proper divisors (11279623240120).

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

6349819831880 is a wasteful number, since it uses less digits than its factorization.

6349819831880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286512 (or 1286491 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 68.

The spelling of 6349819831880 in words is "six trillion, three hundred forty-nine billion, eight hundred nineteen million, eight hundred thirty-one thousand, eight hundred eighty".