6434861875200 has 2400 divisors, whose sum is σ = 28319074740000. Its totient is φ = 1426902220800.

The previous prime is 6434861875159. The next prime is 6434861875201. The reversal of 6434861875200 is 25781684346.

It is a happy number.

6434861875200 is a `hidden beast` number, since 6 + 4 + 34 + 8 + 6 + 1 + 87 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6434861875201) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 221891788786 + ... + 221891788814.

It is an arithmetic number, because the mean of its divisors is an integer number (11799614475).

Almost surely, 2^{6434861875200} is an apocalyptic number.

6434861875200 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 6434861875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14159537370000).

6434861875200 is an abundant number, since it is smaller than the sum of its proper divisors (21884212864800).

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

6434861875200 is an equidigital number, since it uses as much as digits as its factorization.

6434861875200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 6434861875200 in words is "six trillion, four hundred thirty-four billion, eight hundred sixty-one million, eight hundred seventy-five thousand, two hundred".