6342456120 has 768 divisors, whose sum is σ = 27440985600. Its totient is φ = 1149603840.

The previous prime is 6342456079. The next prime is 6342456179. The reversal of 6342456120 is 216542436.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15975762 + ... + 15976158.

It is an arithmetic number, because the mean of its divisors is an integer number (35730450).

Almost surely, 2^6342456120 is an apocalyptic number.

6342456120 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 6342456120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13720492800).

6342456120 is an abundant number, since it is smaller than the sum of its proper divisors (21098529480).

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

6342456120 is a wasteful number, since it uses less digits than its factorization.

6342456120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 6342456120 is about 79639.5386726970. The cubic root of 6342456120 is about 1851.0542926535.

Adding to 6342456120 its reverse (216542436), we get a palindrome (6558998556).

The spelling of 6342456120 in words is "six billion, three hundred forty-two million, four hundred fifty-six thousand, one hundred twenty".