604769338673280 has 3072 divisors, whose sum is σ = 2442913950597120. Its totient is φ = 136527788113920.

The previous prime is 604769338673267. The next prime is 604769338673329. The reversal of 604769338673280 is 82376833967406.

604769338673280 is a `hidden beast` number, since 6 + 0 + 4 + 7 + 6 + 9 + 338 + 6 + 7 + 3 + 280 = 666.

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 = 604769338673199 and 604769338673208.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 1241826157197 + ... + 1241826157683.

It is an arithmetic number, because the mean of its divisors is an integer number (795219384960).

Almost surely, 2^{604769338673280} is an apocalyptic number.

604769338673280 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 604769338673280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221456975298560).

604769338673280 is an abundant number, since it is smaller than the sum of its proper divisors (1838144611923840).

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

604769338673280 is a wasteful number, since it uses less digits than its factorization.

604769338673280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 1316818944, while the sum is 72.

The spelling of 604769338673280 in words is "six hundred four trillion, seven hundred sixty-nine billion, three hundred thirty-eight million, six hundred seventy-three thousand, two hundred eighty".