6463582920 has 320 divisors, whose sum is σ = 23146041600. Its totient is φ = 1612154880.

The previous prime is 6463582907. The next prime is 6463582921. The reversal of 6463582920 is 292853646.

6463582920 is a `hidden beast` number, since 6 + 4 + 6 + 358 + 292 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6463582921) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13163875 + ... + 13164365.

It is an arithmetic number, because the mean of its divisors is an integer number (72331380).

Almost surely, 2^6463582920 is an apocalyptic number.

6463582920 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 6463582920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11573020800).

6463582920 is an abundant number, since it is smaller than the sum of its proper divisors (16682458680).

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

6463582920 is a wasteful number, since it uses less digits than its factorization.

6463582920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 757 counting only the distinct ones).

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

The square root of 6463582920 is about 80396.4111139297. The cubic root of 6463582920 is about 1862.7637373768.

The spelling of 6463582920 in words is "six billion, four hundred sixty-three million, five hundred eighty-two thousand, nine hundred twenty".