6352113600 has 1008 divisors, whose sum is σ = 27858841920. Its totient is φ = 1341849600.

The previous prime is 6352113589. The next prime is 6352113623. The reversal of 6352113600 is 63112536.

6352113600 is a `hidden beast` number, since 6 + 3 + 52 + 1 + 1 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 119851174 + ... + 119851226.

It is an arithmetic number, because the mean of its divisors is an integer number (27637740).

Almost surely, 2^6352113600 is an apocalyptic number.

6352113600 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 6352113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13929420960).

6352113600 is an abundant number, since it is smaller than the sum of its proper divisors (21506728320).

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

6352113600 is a wasteful number, since it uses less digits than its factorization.

6352113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 6352113600 is about 79700.1480550695. The cubic root of 6352113600 is about 1851.9933323453.

The spelling of 6352113600 in words is "six billion, three hundred fifty-two million, one hundred thirteen thousand, six hundred".