6557838480 has 120 divisors (see below), whose sum is σ = 22560665400. Its totient is φ = 1706096640.

The previous prime is 6557838479. The next prime is 6557838481. The reversal of 6557838480 is 848387556.

6557838480 is a `hidden beast` number, since 6 + 557 + 8 + 3 + 8 + 4 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (6557838479) and next prime (6557838481).

It can be written as a sum of positive squares in 4 ways, for example, as 725904 + 6557112576 = 852^2 + 80976^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (6557838481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81555 + ... + 140594.

It is an arithmetic number, because the mean of its divisors is an integer number (188005545).

Almost surely, 2^6557838480 is an apocalyptic number.

6557838480 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6557838480 is an abundant number, since it is smaller than the sum of its proper divisors (16002826920).

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

6557838480 is a wasteful number, since it uses less digits than its factorization.

6557838480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222209 (or 222200 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The square root of 6557838480 is about 80980.4820929093. The cubic root of 6557838480 is about 1871.7746962027.

The spelling of 6557838480 in words is "six billion, five hundred fifty-seven million, eight hundred thirty-eight thousand, four hundred eighty".