6463618560 has 800 divisors, whose sum is σ = 27259987392. Its totient is φ = 1433272320.

The previous prime is 6463618543. The next prime is 6463618597. The reversal of 6463618560 is 658163646.

6463618560 is a `hidden beast` number, since 6 + 4 + 636 + 1 + 8 + 5 + 6 + 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 an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 88542684 + ... + 88542756.

Almost surely, 2^6463618560 is an apocalyptic number.

6463618560 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 6463618560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13629993696).

6463618560 is an abundant number, since it is smaller than the sum of its proper divisors (20796368832).

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

6463618560 is an equidigital number, since it uses as much as digits as its factorization.

6463618560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 6463618560 is about 80396.6327653093. The cubic root of 6463618560 is about 1862.7671611114.

The spelling of 6463618560 in words is "six billion, four hundred sixty-three million, six hundred eighteen thousand, five hundred sixty".