6329338168320 has 352 divisors, whose sum is σ = 22502848515840. Its totient is φ = 1687108976640.

The previous prime is 6329338168243. The next prime is 6329338168337. The reversal of 6329338168320 is 238618339236.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 380566405 + ... + 380583035.

It is an arithmetic number, because the mean of its divisors is an integer number (63928546920).

Almost surely, 2^{6329338168320} is an apocalyptic number.

6329338168320 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 6329338168320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11251424257920).

6329338168320 is an abundant number, since it is smaller than the sum of its proper divisors (16173510347520).

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

6329338168320 is a wasteful number, since it uses less digits than its factorization.

6329338168320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19418 (or 19394 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 6329338168320 in words is "six trillion, three hundred twenty-nine billion, three hundred thirty-eight million, one hundred sixty-eight thousand, three hundred twenty".