617965787664 has 135 divisors (see below), whose sum is σ = 1748367048519. Its totient is φ = 203759193600.

The previous prime is 617965787653. The next prime is 617965787669. The reversal of 617965787664 is 466787569716.

It is a happy number.

The square root of 617965787664 is 786108.

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

It can be written as a sum of positive squares in 4 ways, for example, as 183948347664 + 434017440000 = 428892^2 + 658800^2 .

It is a super-3 number, since 3×617965787664³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 617965787592 and 617965787601.

It is not an unprimeable number, because it can be changed into a prime (617965787669) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 1028228964 + ... + 1028229564.

Almost surely, 2^617965787664 is an apocalyptic number.

617965787664 is the 786108-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 617965787664

617965787664 is an abundant number, since it is smaller than the sum of its proper divisors (1130401260855).

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

617965787664 is an equidigital number, since it uses as much as digits as its factorization.

617965787664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 715 counting only the distinct ones).

The product of its digits is 640120320, while the sum is 72.

The spelling of 617965787664 in words is "six hundred seventeen billion, nine hundred sixty-five million, seven hundred eighty-seven thousand, six hundred sixty-four".