63580476960 has 1920 divisors, whose sum is σ = 313506547200. Its totient is φ = 11774730240.

The previous prime is 63580476913. The next prime is 63580477013. The reversal of 63580476960 is 6967408536.

63580476960 is a `hidden beast` number, since 6 + 3 + 5 + 80 + 476 + 96 + 0 = 666.

It is a super-2 number, since 2×63580476960² (a number of 22 digits) contains 22 as substring.

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 = 63580476897 and 63580476906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2192430226 + ... + 2192430254.

It is an arithmetic number, because the mean of its divisors is an integer number (163284660).

Almost surely, 2^63580476960 is an apocalyptic number.

63580476960 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 63580476960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156753273600).

63580476960 is an abundant number, since it is smaller than the sum of its proper divisors (249926070240).

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

63580476960 is a wasteful number, since it uses less digits than its factorization.

63580476960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 63580476960 in words is "sixty-three billion, five hundred eighty million, four hundred seventy-six thousand, nine hundred sixty".