6452735016 has 384 divisors, whose sum is σ = 21914323200. Its totient is φ = 1543127040.

The previous prime is 6452734979. The next prime is 6452735017. The reversal of 6452735016 is 6105372546.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6452735017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13997026 + ... + 13997486.

It is an arithmetic number, because the mean of its divisors is an integer number (57068550).

Almost surely, 2^6452735016 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 6452735016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10957161600).

6452735016 is an abundant number, since it is smaller than the sum of its proper divisors (15461588184).

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

6452735016 is a wasteful number, since it uses less digits than its factorization.

6452735016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The square root of 6452735016 is about 80328.9176822394. The cubic root of 6452735016 is about 1861.7210547249.

The spelling of 6452735016 in words is "six billion, four hundred fifty-two million, seven hundred thirty-five thousand, sixteen".