418945063680 has 864 divisors, whose sum is σ = 1766174941440. Its totient is φ = 93739991040.

The previous prime is 418945063639. The next prime is 418945063711. The reversal of 418945063680 is 86360549814.

418945063680 is a `hidden beast` number, since 4 + 1 + 89 + 450 + 6 + 36 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

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, 44474011 + ... + 44483429.

It is an arithmetic number, because the mean of its divisors is an integer number (2044183960).

Almost surely, 2^418945063680 is an apocalyptic number.

418945063680 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 418945063680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883087470720).

418945063680 is an abundant number, since it is smaller than the sum of its proper divisors (1347229877760).

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

418945063680 is a wasteful number, since it uses less digits than its factorization.

418945063680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9479 (or 9453 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 418945063680 in words is "four hundred eighteen billion, nine hundred forty-five million, sixty-three thousand, six hundred eighty".