6559615440 has 320 divisors, whose sum is σ = 25916198400. Its totient is φ = 1493876736.

The previous prime is 6559615417. The next prime is 6559615441. The reversal of 6559615440 is 445169556.

6559615440 is a `hidden beast` number, since 6 + 5 + 596 + 1 + 54 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6559615441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5336746 + ... + 5337974.

It is an arithmetic number, because the mean of its divisors is an integer number (80988120).

Almost surely, 2^6559615440 is an apocalyptic number.

6559615440 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 6559615440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12958099200).

6559615440 is an abundant number, since it is smaller than the sum of its proper divisors (19356582960).

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

6559615440 is a wasteful number, since it uses less digits than its factorization.

6559615440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1611 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 6559615440 is about 80991.4528823875. The cubic root of 6559615440 is about 1871.9437442003.

The spelling of 6559615440 in words is "six billion, five hundred fifty-nine million, six hundred fifteen thousand, four hundred forty".