604577040779712 has 1344 divisors, whose sum is σ = 2242512680970240. Its totient is φ = 141221516083200.

The previous prime is 604577040779707. The next prime is 604577040779729. The reversal of 604577040779712 is 217977040775406.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41755434489 + ... + 41755448967.

It is an arithmetic number, because the mean of its divisors is an integer number (1668536220960).

Almost surely, 2^{604577040779712} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 604577040779712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121256340485120).

604577040779712 is an abundant number, since it is smaller than the sum of its proper divisors (1637935640190528).

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

604577040779712 is a wasteful number, since it uses less digits than its factorization.

604577040779712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15330 (or 15313 counting only the distinct ones).

The product of its (nonzero) digits is 145212480, while the sum is 66.

The spelling of 604577040779712 in words is "six hundred four trillion, five hundred seventy-seven billion, forty million, seven hundred seventy-nine thousand, seven hundred twelve".