613464897600 has 567 divisors, whose sum is σ = 2237640024711. Its totient is φ = 159405004800.

The previous prime is 613464897593. The next prime is 613464897601. The reversal of 613464897600 is 6798464316.

The square root of 613464897600 is 783240.

It is a perfect power (a square), and thus also a powerful number.

613464897600 is a `hidden beast` number, since 61 + 3 + 46 + 489 + 7 + 60 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 282573043776 + 330891853824 = 531576^2 + 575232^2 .

It is not an unprimeable number, because it can be changed into a prime (613464897601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5733316747 + ... + 5733316853.

Almost surely, 2^613464897600 is an apocalyptic number.

613464897600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

613464897600 is the 783240-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 613464897600

613464897600 is an abundant number, since it is smaller than the sum of its proper divisors (1624175127111).

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

613464897600 is a wasteful number, since it uses less digits than its factorization.

613464897600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 613464897600 in words is "six hundred thirteen billion, four hundred sixty-four million, eight hundred ninety-seven thousand, six hundred".