6352005140 has 192 divisors, whose sum is σ = 15833664000. Its totient is φ = 2119219200.

The previous prime is 6352005139. The next prime is 6352005167. The reversal of 6352005140 is 415002536.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14469041 + ... + 14469479.

It is an arithmetic number, because the mean of its divisors is an integer number (82467000).

Almost surely, 2^6352005140 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 6352005140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7916832000).

6352005140 is an abundant number, since it is smaller than the sum of its proper divisors (9481658860).

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

6352005140 is a wasteful number, since it uses less digits than its factorization.

6352005140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 6352005140 is about 79699.4676268292. The cubic root of 6352005140 is about 1851.9827915839.

Adding to 6352005140 its reverse (415002536), we get a palindrome (6767007676).

The spelling of 6352005140 in words is "six billion, three hundred fifty-two million, five thousand, one hundred forty".