578755479834 has 128 divisors (see below), whose sum is σ = 1496401620480. Its totient is φ = 162391744512.

The previous prime is 578755479829. The next prime is 578755479839. The reversal of 578755479834 is 438974557875.

578755479834 is a `hidden beast` number, since 5 + 7 + 8 + 75 + 5 + 479 + 83 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (578755479829) and next prime (578755479839).

It is not an unprimeable number, because it can be changed into a prime (578755479839) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6384394 + ... + 6474410.

It is an arithmetic number, because the mean of its divisors is an integer number (11690637660).

Almost surely, 2^578755479834 is an apocalyptic number.

578755479834 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 578755479834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748200810240).

578755479834 is an abundant number, since it is smaller than the sum of its proper divisors (917646140646).

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

578755479834 is a wasteful number, since it uses less digits than its factorization.

578755479834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90341 (or 90335 counting only the distinct ones).

The product of its digits is 1185408000, while the sum is 72.

The spelling of 578755479834 in words is "five hundred seventy-eight billion, seven hundred fifty-five million, four hundred seventy-nine thousand, eight hundred thirty-four".