613682107121664 has 735 divisors, whose sum is σ = 2140646060002467. Its totient is φ = 175337744891904.

The previous prime is 613682107121641. The next prime is 613682107121669. The reversal of 613682107121664 is 466121701286316.

The square root of 613682107121664 is 24772608.

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

613682107121664 is a `hidden beast` number, since 6 + 1 + 368 + 2 + 1 + 0 + 7 + 1 + 216 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 613682107121664.

It is not an unprimeable number, because it can be changed into a prime (613682107121669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 87668872445949 + ... + 87668872445955.

Almost surely, 2^{613682107121664} is an apocalyptic number.

613682107121664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

613682107121664 is the 24772608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 613682107121664

613682107121664 is an abundant number, since it is smaller than the sum of its proper divisors (1526963952880803).

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

613682107121664 is an frugal number, since it uses more digits than its factorization.

613682107121664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 613682107121664 in words is "six hundred thirteen trillion, six hundred eighty-two billion, one hundred seven million, one hundred twenty-one thousand, six hundred sixty-four".