6417885960 has 320 divisors, whose sum is σ = 22844954880. Its totient is φ = 1612638720.

The previous prime is 6417885857. The next prime is 6417885961. The reversal of 6417885960 is 695887146.

6417885960 is a `hidden beast` number, since 6 + 41 + 7 + 8 + 8 + 596 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6417885897 and 6417885906.

It is not an unprimeable number, because it can be changed into a prime (6417885961) 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, 5290314 + ... + 5291526.

It is an arithmetic number, because the mean of its divisors is an integer number (71390484).

Almost surely, 2^6417885960 is an apocalyptic number.

6417885960 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 6417885960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11422477440).

6417885960 is an abundant number, since it is smaller than the sum of its proper divisors (16427068920).

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

6417885960 is a wasteful number, since it uses less digits than its factorization.

6417885960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 6417885960 is about 80111.7092565126. The cubic root of 6417885960 is about 1858.3634929159.

The spelling of 6417885960 in words is "six billion, four hundred seventeen million, eight hundred eighty-five thousand, nine hundred sixty".