6341428800 has 504 divisors, whose sum is σ = 26266908096. Its totient is φ = 1420922880.

The previous prime is 6341428787. The next prime is 6341428813. The reversal of 6341428800 is 88241436.

6341428800 is a `hidden beast` number, since 634 + 14 + 2 + 8 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6341428787) and next prime (6341428813).

It is a tau number, because it is divible by the number of its divisors (504).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5341807 + ... + 5342993.

Almost surely, 2^6341428800 is an apocalyptic number.

6341428800 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 6341428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13133454048).

6341428800 is an abundant number, since it is smaller than the sum of its proper divisors (19925479296).

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

6341428800 is a wasteful number, since it uses less digits than its factorization.

6341428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 6341428800 is about 79633.0886001541. The cubic root of 6341428800 is about 1850.9543456855.

The spelling of 6341428800 in words is "six billion, three hundred forty-one million, four hundred twenty-eight thousand, eight hundred".