6338062080 has 864 divisors, whose sum is σ = 26998852608. Its totient is φ = 1393459200.

The previous prime is 6338062067. The next prime is 6338062103. The reversal of 6338062080 is 802608336.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89268445 + ... + 89268515.

It is an arithmetic number, because the mean of its divisors is an integer number (31248672).

Almost surely, 2^6338062080 is an apocalyptic number.

6338062080 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 6338062080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13499426304).

6338062080 is an abundant number, since it is smaller than the sum of its proper divisors (20660790528).

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

6338062080 is an equidigital number, since it uses as much as digits as its factorization.

6338062080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6338062080 is about 79611.9468421668. The cubic root of 6338062080 is about 1850.6267250841.

The spelling of 6338062080 in words is "six billion, three hundred thirty-eight million, sixty-two thousand, eighty".