605673506930688 has 3672 divisors, whose sum is σ = 2382131382274800. Its totient is φ = 152564385447936.

The previous prime is 605673506930659. The next prime is 605673506930699. The reversal of 605673506930688 is 886039605376506.

605673506930688 is a `hidden beast` number, since 6 + 0 + 5 + 6 + 7 + 3 + 506 + 9 + 30 + 6 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (3672).

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

It is an unprimeable number.

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 215 ways as a sum of consecutive naturals, for example, 6805320302548 + ... + 6805320302636.

Almost surely, 2^{605673506930688} is an apocalyptic number.

605673506930688 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 605673506930688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191065691137400).

605673506930688 is an abundant number, since it is smaller than the sum of its proper divisors (1776457875344112).

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

605673506930688 is an frugal number, since it uses more digits than its factorization.

605673506930688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1175731200, while the sum is 72.

The spelling of 605673506930688 in words is "six hundred five trillion, six hundred seventy-three billion, five hundred six million, nine hundred thirty thousand, six hundred eighty-eight".