6456418560 has 216 divisors, whose sum is σ = 22433995584. Its totient is φ = 1714360320.

The previous prime is 6456418537. The next prime is 6456418597. The reversal of 6456418560 is 658146546.

6456418560 is a `hidden beast` number, since 6 + 4 + 564 + 1 + 85 + 6 + 0 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 23 ways as a sum of consecutive naturals, for example, 3028695 + ... + 3030825.

Almost surely, 2^6456418560 is an apocalyptic number.

6456418560 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 6456418560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11216997792).

6456418560 is an abundant number, since it is smaller than the sum of its proper divisors (15977577024).

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

6456418560 is a wasteful number, since it uses less digits than its factorization.

6456418560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2421 (or 2404 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 6456418560 is about 80351.8422937520. The cubic root of 6456418560 is about 1862.0752418463.

The spelling of 6456418560 in words is "six billion, four hundred fifty-six million, four hundred eighteen thousand, five hundred sixty".