6342094800 has 240 divisors, whose sum is σ = 23901684480. Its totient is φ = 1591695360.

The previous prime is 6342094769. The next prime is 6342094849. The reversal of 6342094800 is 84902436.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166329 + ... + 200871.

It is an arithmetic number, because the mean of its divisors is an integer number (99590352).

Almost surely, 2^6342094800 is an apocalyptic number.

6342094800 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 6342094800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11950842240).

6342094800 is an abundant number, since it is smaller than the sum of its proper divisors (17559589680).

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

6342094800 is a wasteful number, since it uses less digits than its factorization.

6342094800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34587 (or 34570 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6342094800 is about 79637.2701691865. The cubic root of 6342094800 is about 1851.0191414111.

The spelling of 6342094800 in words is "six billion, three hundred forty-two million, ninety-four thousand, eight hundred".