420637065600 has 1536 divisors, whose sum is σ = 1626067353600. Its totient is φ = 94961664000.

The previous prime is 420637065557. The next prime is 420637065601. The reversal of 420637065600 is 6560736024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420637065601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6895689570 + ... + 6895689630.

It is an arithmetic number, because the mean of its divisors is an integer number (1058637600).

Almost surely, 2^420637065600 is an apocalyptic number.

420637065600 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 420637065600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813033676800).

420637065600 is an abundant number, since it is smaller than the sum of its proper divisors (1205430288000).

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

420637065600 is a wasteful number, since it uses less digits than its factorization.

420637065600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The spelling of 420637065600 in words is "four hundred twenty billion, six hundred thirty-seven million, sixty-five thousand, six hundred".