6534938880 has 432 divisors, whose sum is σ = 24182645760. Its totient is φ = 1625702400.

The previous prime is 6534938843. The next prime is 6534938929. The reversal of 6534938880 is 888394356.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10356165 + ... + 10356795.

Almost surely, 2^6534938880 is an apocalyptic number.

6534938880 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 6534938880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12091322880).

6534938880 is an abundant number, since it is smaller than the sum of its proper divisors (17647706880).

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

6534938880 is a wasteful number, since it uses less digits than its factorization.

6534938880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The square root of 6534938880 is about 80838.9688207365. The cubic root of 6534938880 is about 1869.5934449376.

The spelling of 6534938880 in words is "six billion, five hundred thirty-four million, nine hundred thirty-eight thousand, eight hundred eighty".