604794706560 has 1152 divisors, whose sum is σ = 2412577440000. Its totient is φ = 139339284480.

The previous prime is 604794706559. The next prime is 604794706561. The reversal of 604794706560 is 65607497406.

604794706560 is a `hidden beast` number, since 6 + 0 + 4 + 7 + 9 + 4 + 70 + 6 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (604794706559) and next prime (604794706561).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 604794706497 and 604794706506.

It is not an unprimeable number, because it can be changed into a prime (604794706561) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1212013191 + ... + 1212013689.

It is an arithmetic number, because the mean of its divisors is an integer number (2094251250).

Almost surely, 2^604794706560 is an apocalyptic number.

604794706560 is a gapful number since it is divisible by the number (60) 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 604794706560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206288720000).

604794706560 is an abundant number, since it is smaller than the sum of its proper divisors (1807782733440).

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

604794706560 is a wasteful number, since it uses less digits than its factorization.

604794706560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 604794706560 in words is "six hundred four billion, seven hundred ninety-four million, seven hundred six thousand, five hundred sixty".