6452113140 has 288 divisors, whose sum is σ = 22219142400. Its totient is φ = 1501194240.

The previous prime is 6452113067. The next prime is 6452113147. The reversal of 6452113140 is 413112546.

It is a happy number.

6452113140 is a `hidden beast` number, since 6 + 4 + 521 + 131 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6452113147) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17972281 + ... + 17972639.

It is an arithmetic number, because the mean of its divisors is an integer number (77149800).

Almost surely, 2^6452113140 is an apocalyptic number.

6452113140 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 6452113140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11109571200).

6452113140 is an abundant number, since it is smaller than the sum of its proper divisors (15767029260).

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

6452113140 is a wasteful number, since it uses less digits than its factorization.

6452113140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 6452113140 is about 80325.0467786979. The cubic root of 6452113140 is about 1861.6612456240.

Adding to 6452113140 its reverse (413112546), we get a palindrome (6865225686).

The spelling of 6452113140 in words is "six billion, four hundred fifty-two million, one hundred thirteen thousand, one hundred forty".