416656618560 has 672 divisors, whose sum is σ = 1783764702720. Its totient is φ = 86917349376.

The previous prime is 416656618541. The next prime is 416656618583. The reversal of 416656618560 is 65816656614.

416656618560 is a `hidden beast` number, since 4 + 1 + 6 + 6 + 5 + 66 + 18 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 416656618497 and 416656618506.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23316189 + ... + 23334051.

It is an arithmetic number, because the mean of its divisors is an integer number (2654411760).

Almost surely, 2^416656618560 is an apocalyptic number.

416656618560 is a gapful number since it is divisible by the number (40) 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 416656618560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891882351360).

416656618560 is an abundant number, since it is smaller than the sum of its proper divisors (1367108084160).

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

416656618560 is a wasteful number, since it uses less digits than its factorization.

416656618560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17995 (or 17982 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 416656618560 in words is "four hundred sixteen billion, six hundred fifty-six million, six hundred eighteen thousand, five hundred sixty".