6559742400 has 336 divisors, whose sum is σ = 23992392960. Its totient is φ = 1559347200.

The previous prime is 6559742359. The next prime is 6559742411. The reversal of 6559742400 is 42479556.

It is a congruent number.

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, 1548285 + ... + 1552515.

Almost surely, 2^6559742400 is an apocalyptic number.

6559742400 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 6559742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11996196480).

6559742400 is an abundant number, since it is smaller than the sum of its proper divisors (17432650560).

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

6559742400 is a wasteful number, since it uses less digits than its factorization.

6559742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4292 (or 4277 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 6559742400 is about 80992.2366650039. The cubic root of 6559742400 is about 1871.9558211504.

The spelling of 6559742400 in words is "six billion, five hundred fifty-nine million, seven hundred forty-two thousand, four hundred".