6343398956160 has 1280 divisors, whose sum is σ = 26861326272000. Its totient is φ = 1395800211456.

The previous prime is 6343398956137. The next prime is 6343398956269. The reversal of 6343398956160 is 616598933436.

6343398956160 is a `hidden beast` number, since 6 + 3 + 4 + 3 + 3 + 9 + 8 + 9 + 5 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4809247981 + ... + 4809249299.

It is an arithmetic number, because the mean of its divisors is an integer number (20985411150).

Almost surely, 2^{6343398956160} is an apocalyptic number.

6343398956160 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 6343398956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13430663136000).

6343398956160 is an abundant number, since it is smaller than the sum of its proper divisors (20517927315840).

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

6343398956160 is a wasteful number, since it uses less digits than its factorization.

6343398956160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1843 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 63.

The spelling of 6343398956160 in words is "six trillion, three hundred forty-three billion, three hundred ninety-eight million, nine hundred fifty-six thousand, one hundred sixty".