6543659520 has 480 divisors, whose sum is σ = 24004588608. Its totient is φ = 1707982848.

The previous prime is 6543659509. The next prime is 6543659539. The reversal of 6543659520 is 259563456.

6543659520 is a `hidden beast` number, since 6 + 5 + 4 + 36 + 595 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

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, 41679282 + ... + 41679438.

Almost surely, 2^6543659520 is an apocalyptic number.

6543659520 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 6543659520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12002294304).

6543659520 is an abundant number, since it is smaller than the sum of its proper divisors (17460929088).

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

6543659520 is an equidigital number, since it uses as much as digits as its factorization.

6543659520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The square root of 6543659520 is about 80892.8891806938. The cubic root of 6543659520 is about 1870.4247102670.

The spelling of 6543659520 in words is "six billion, five hundred forty-three million, six hundred fifty-nine thousand, five hundred twenty".