6325600188096 has 224 divisors, whose sum is σ = 21277454016000. Its totient is φ = 1805207399424.

The previous prime is 6325600188067. The next prime is 6325600188137. The reversal of 6325600188096 is 6908810065236.

It is a happy number.

6325600188096 is a `hidden beast` number, since 6 + 3 + 25 + 600 + 1 + 8 + 8 + 0 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10086070 + ... + 10694858.

It is an arithmetic number, because the mean of its divisors is an integer number (94988634000).

Almost surely, 2^{6325600188096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6325600188096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10638727008000).

6325600188096 is an abundant number, since it is smaller than the sum of its proper divisors (14951853827904).

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

6325600188096 is a wasteful number, since it uses less digits than its factorization.

6325600188096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609676 (or 609660 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 6325600188096 in words is "six trillion, three hundred twenty-five billion, six hundred million, one hundred eighty-eight thousand, ninety-six".