6338990180160 has 896 divisors, whose sum is σ = 24963734476800. Its totient is φ = 1501332848640.

The previous prime is 6338990180141. The next prime is 6338990180183. The reversal of 6338990180160 is 610810998336.

6338990180160 is a `hidden beast` number, since 6 + 3 + 389 + 90 + 18 + 0 + 160 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6338990180097 and 6338990180106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 742353171 + ... + 742361709.

It is an arithmetic number, because the mean of its divisors is an integer number (27861310800).

Almost surely, 2^{6338990180160} is an apocalyptic number.

6338990180160 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 6338990180160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12481867238400).

6338990180160 is an abundant number, since it is smaller than the sum of its proper divisors (18624744296640).

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

6338990180160 is a wasteful number, since it uses less digits than its factorization.

6338990180160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8756 (or 8740 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 6338990180160 in words is "six trillion, three hundred thirty-eight billion, nine hundred ninety million, one hundred eighty thousand, one hundred sixty".