420062727168 has 352 divisors, whose sum is σ = 1423690137600. Its totient is φ = 119853416448.

The previous prime is 420062727157. The next prime is 420062727223. The reversal of 420062727168 is 861727260024.

It is a happy number.

420062727168 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 627 + 2 + 7 + 16 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247531696 + ... + 247533392.

Almost surely, 2^420062727168 is an apocalyptic number.

420062727168 is a gapful number since it is divisible by the number (48) 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 420062727168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711845068800).

420062727168 is an abundant number, since it is smaller than the sum of its proper divisors (1003627410432).

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

420062727168 is a wasteful number, since it uses less digits than its factorization.

420062727168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3012 (or 2988 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 420062727168 in words is "four hundred twenty billion, sixty-two million, seven hundred twenty-seven thousand, one hundred sixty-eight".