6356420725200 has 480 divisors, whose sum is σ = 25090827417600. Its totient is φ = 1339517122560.

The previous prime is 6356420725169. The next prime is 6356420725231. The reversal of 6356420725200 is 25270246536.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6356420725169) and next prime (6356420725231).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91584111 + ... + 91653489.

It is an arithmetic number, because the mean of its divisors is an integer number (52272557120).

Almost surely, 2^{6356420725200} is an apocalyptic number.

6356420725200 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 6356420725200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12545413708800).

6356420725200 is an abundant number, since it is smaller than the sum of its proper divisors (18734406692400).

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

6356420725200 is a wasteful number, since it uses less digits than its factorization.

6356420725200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70259 (or 70248 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 42.

The spelling of 6356420725200 in words is "six trillion, three hundred fifty-six billion, four hundred twenty million, seven hundred twenty-five thousand, two hundred".