420357869568 has 1638 divisors, whose sum is σ = 1680952875354. Its totient is φ = 104342224896.

The previous prime is 420357869557. The next prime is 420357869593. The reversal of 420357869568 is 865968753024.

It is a happy number.

420357869568 is a `hidden beast` number, since 4 + 2 + 0 + 3 + 5 + 7 + 8 + 69 + 568 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 9364045824 + 410993823744 = 96768^2 + 641088^2 .

It is a tau number, because it is divible by the number of its divisors (1638).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 24726933496 + ... + 24726933512.

Almost surely, 2^420357869568 is an apocalyptic number.

420357869568 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 420357869568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840476437677).

420357869568 is an abundant number, since it is smaller than the sum of its proper divisors (1260595005786).

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

420357869568 is an equidigital number, since it uses as much as digits as its factorization.

420357869568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 420357869568 in words is "four hundred twenty billion, three hundred fifty-seven million, eight hundred sixty-nine thousand, five hundred sixty-eight".