6557634889344 has 1440 divisors, whose sum is σ = 25112766016800. Its totient is φ = 1699401876480.

The previous prime is 6557634889343. The next prime is 6557634889349. The reversal of 6557634889344 is 4439884367556.

It is a happy number.

6557634889344 is a `hidden beast` number, since 6 + 5 + 57 + 6 + 3 + 488 + 93 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (6557634889343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 14937664677 + ... + 14937665115.

It is an arithmetic number, because the mean of its divisors is an integer number (17439420845).

Almost surely, 2^{6557634889344} is an apocalyptic number.

6557634889344 is a gapful number since it is divisible by the number (64) 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 6557634889344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12556383008400).

6557634889344 is an abundant number, since it is smaller than the sum of its proper divisors (18555131127456).

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

6557634889344 is an frugal number, since it uses more digits than its factorization.

6557634889344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 462 counting only the distinct ones).

The product of its digits is 2090188800, while the sum is 72.

The spelling of 6557634889344 in words is "six trillion, five hundred fifty-seven billion, six hundred thirty-four million, eight hundred eighty-nine thousand, three hundred forty-four".