6400242420 has 192 divisors, whose sum is σ = 21109745664. Its totient is φ = 1428410880.

The previous prime is 6400242413. The next prime is 6400242439. The reversal of 6400242420 is 242420046.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4314999 + ... + 4316481.

It is an arithmetic number, because the mean of its divisors is an integer number (109946592).

Almost surely, 2^6400242420 is an apocalyptic number.

6400242420 is a gapful number since it is divisible by the number (60) 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 6400242420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10554872832).

6400242420 is an abundant number, since it is smaller than the sum of its proper divisors (14709503244).

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

6400242420 is a wasteful number, since it uses less digits than its factorization.

6400242420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2022 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 6400242420 is about 80001.5151106527. The cubic root of 6400242420 is about 1856.6589751067.

Adding to 6400242420 its reverse (242420046), we get a palindrome (6642662466).

The spelling of 6400242420 in words is "six billion, four hundred million, two hundred forty-two thousand, four hundred twenty".