420601663680 has 224 divisors, whose sum is σ = 1461969347328. Its totient is φ = 101603020800.

The previous prime is 420601663667. The next prime is 420601663681. The reversal of 420601663680 is 86366106024.

It is a super-2 number, since 2×420601663680² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (420601663681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2918110 + ... + 3058850.

It is an arithmetic number, because the mean of its divisors is an integer number (6526648872).

Almost surely, 2^420601663680 is an apocalyptic number.

420601663680 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 420601663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730984673664).

420601663680 is an abundant number, since it is smaller than the sum of its proper divisors (1041367683648).

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

420601663680 is a wasteful number, since it uses less digits than its factorization.

420601663680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141055 (or 141045 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 420601663680 in words is "four hundred twenty billion, six hundred one million, six hundred sixty-three thousand, six hundred eighty".