605407509504 has 660 divisors, whose sum is σ = 2115126108744. Its totient is φ = 172691398656.

The previous prime is 605407509503. The next prime is 605407509521. The reversal of 605407509504 is 405905704506.

605407509504 is a `hidden beast` number, since 6 + 0 + 540 + 7 + 50 + 9 + 50 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 605407509504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (605407509503) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 987613902 + ... + 987614514.

Almost surely, 2^605407509504 is an apocalyptic number.

605407509504 is a gapful number since it is divisible by the number (64) 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 605407509504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057563054372).

605407509504 is an abundant number, since it is smaller than the sum of its proper divisors (1509718599240).

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

605407509504 is an frugal number, since it uses more digits than its factorization.

605407509504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 605407509504 in words is "six hundred five billion, four hundred seven million, five hundred nine thousand, five hundred four".