6557368320 has 192 divisors, whose sum is σ = 22736975040. Its totient is φ = 1748238336.

The previous prime is 6557368309. The next prime is 6557368361. The reversal of 6557368320 is 238637556.

6557368320 is a `hidden beast` number, since 6 + 557 + 3 + 68 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1472337 + ... + 1476783.

It is an arithmetic number, because the mean of its divisors is an integer number (118421745).

Almost surely, 2^6557368320 is an apocalyptic number.

6557368320 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 6557368320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11368487520).

6557368320 is an abundant number, since it is smaller than the sum of its proper divisors (16179606720).

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

6557368320 is an equidigital number, since it uses as much as digits as its factorization.

6557368320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4488 (or 4457 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 6557368320 is about 80977.5791191611. The cubic root of 6557368320 is about 1871.7299632405.

The spelling of 6557368320 in words is "six billion, five hundred fifty-seven million, three hundred sixty-eight thousand, three hundred twenty".