420342675648 has 672 divisors, whose sum is σ = 1411014297600. Its totient is φ = 109680721920.

The previous prime is 420342675607. The next prime is 420342675673. The reversal of 420342675648 is 846576243024.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 420342675648.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1495881268 + ... + 1495881548.

Almost surely, 2^420342675648 is an apocalyptic number.

420342675648 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 420342675648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705507148800).

420342675648 is an abundant number, since it is smaller than the sum of its proper divisors (990671621952).

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

420342675648 is a wasteful number, since it uses less digits than its factorization.

420342675648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 51.

The spelling of 420342675648 in words is "four hundred twenty billion, three hundred forty-two million, six hundred seventy-five thousand, six hundred forty-eight".