6553946880 has 432 divisors, whose sum is σ = 24708771360. Its totient is φ = 1594294272.

The previous prime is 6553946873. The next prime is 6553946977. The reversal of 6553946880 is 886493556.

It is a happy number.

6553946880 is a `hidden beast` number, since 6 + 553 + 9 + 4 + 6 + 8 + 80 = 666.

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, 16024116 + ... + 16024524.

It is an arithmetic number, because the mean of its divisors is an integer number (57196230).

Almost surely, 2^6553946880 is an apocalyptic number.

6553946880 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 6553946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12354385680).

6553946880 is an abundant number, since it is smaller than the sum of its proper divisors (18154824480).

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

6553946880 is a wasteful number, since it uses less digits than its factorization.

6553946880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The square root of 6553946880 is about 80956.4505150763. The cubic root of 6553946880 is about 1871.4043689074.

The spelling of 6553946880 in words is "six billion, five hundred fifty-three million, nine hundred forty-six thousand, eight hundred eighty".