6348890880 has 216 divisors, whose sum is σ = 22341206160. Its totient is φ = 1664163840.

The previous prime is 6348890879. The next prime is 6348890887. The reversal of 6348890880 is 880988436.

It is a super-2 number, since 2×6348890880² = 80616830812294348800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6348890887) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 675010 + ... + 684350.

It is an arithmetic number, because the mean of its divisors is an integer number (103431510).

Almost surely, 2^6348890880 is an apocalyptic number.

6348890880 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 6348890880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11170603080).

6348890880 is an abundant number, since it is smaller than the sum of its proper divisors (15992315280).

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

6348890880 is a wasteful number, since it uses less digits than its factorization.

6348890880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9427 (or 9410 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 6348890880 is about 79679.9277108106. The cubic root of 6348890880 is about 1851.6800788378.

The spelling of 6348890880 in words is "six billion, three hundred forty-eight million, eight hundred ninety thousand, eight hundred eighty".