6482419329870 has 1920 divisors, whose sum is σ = 23125718246400. Its totient is φ = 1289855508480.

The previous prime is 6482419329821. The next prime is 6482419329937. The reversal of 6482419329870 is 789239142846.

6482419329870 is a `hidden beast` number, since 6 + 482 + 41 + 9 + 32 + 9 + 87 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6482419329798 and 6482419329807.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 21115372257 + ... + 21115372563.

It is an arithmetic number, because the mean of its divisors is an integer number (12044644920).

Almost surely, 2^{6482419329870} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6482419329870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11562859123200).

6482419329870 is an abundant number, since it is smaller than the sum of its proper divisors (16643298916530).

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

6482419329870 is a wasteful number, since it uses less digits than its factorization.

6482419329870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 6482419329870 in words is "six trillion, four hundred eighty-two billion, four hundred nineteen million, three hundred twenty-nine thousand, eight hundred seventy".