6458634072 has 192 divisors, whose sum is σ = 19407548160. Its totient is φ = 1924128000.

The previous prime is 6458634043. The next prime is 6458634073. The reversal of 6458634072 is 2704368546.

6458634072 is a `hidden beast` number, since 6 + 4 + 5 + 8 + 634 + 0 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6458634073) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21037743 + ... + 21038049.

It is an arithmetic number, because the mean of its divisors is an integer number (101080980).

Almost surely, 2^6458634072 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 6458634072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9703774080).

6458634072 is an abundant number, since it is smaller than the sum of its proper divisors (12948914088).

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

6458634072 is a wasteful number, since it uses less digits than its factorization.

6458634072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 6458634072 is about 80365.6274286464. The cubic root of 6458634072 is about 1862.2882070898.

The spelling of 6458634072 in words is "six billion, four hundred fifty-eight million, six hundred thirty-four thousand, seventy-two".