6225347481600 has 312 divisors, whose sum is σ = 22165930095232. Its totient is φ = 1532392243200.

The previous prime is 6225347481593. The next prime is 6225347481601. The reversal of 6225347481600 is 61847435226.

It is a tau number, because it is divible by the number of its divisors (312).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6225347481600.

It is not an unprimeable number, because it can be changed into a prime (6225347481601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3214185 + ... + 4773015.

Almost surely, 2^{6225347481600} is an apocalyptic number.

6225347481600 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 6225347481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11082965047616).

6225347481600 is an abundant number, since it is smaller than the sum of its proper divisors (15940582613632).

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

6225347481600 is a wasteful number, since it uses less digits than its factorization.

6225347481600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558881 (or 1558854 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 6225347481600 in words is "six trillion, two hundred twenty-five billion, three hundred forty-seven million, four hundred eighty-one thousand, six hundred".