420636471768 has 128 divisors (see below), whose sum is σ = 1230278400000. Its totient is φ = 132795075456.

The previous prime is 420636471757. The next prime is 420636471797. The reversal of 420636471768 is 867174636024.

420636471768 is a `hidden beast` number, since 4 + 206 + 364 + 7 + 1 + 76 + 8 = 666.

It is a super-2 number, since 2×420636471768² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

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, 16949433 + ... + 16974231.

It is an arithmetic number, because the mean of its divisors is an integer number (9611550000).

Almost surely, 2^420636471768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420636471768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615139200000).

420636471768 is an abundant number, since it is smaller than the sum of its proper divisors (809641928232).

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

420636471768 is a wasteful number, since it uses less digits than its factorization.

420636471768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28966 (or 28956 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 420636471768 in words is "four hundred twenty billion, six hundred thirty-six million, four hundred seventy-one thousand, seven hundred sixty-eight".