578838451968 has 2160 divisors, whose sum is σ = 2338600771584. Its totient is φ = 141018071040.

The previous prime is 578838451913. The next prime is 578838451981. The reversal of 578838451968 is 869154838875.

578838451968 is a `hidden beast` number, since 5 + 7 + 8 + 83 + 8 + 451 + 96 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (464486400) is a multiple of the sum of its prime factors (160).

It is a junction number, because it is equal to n+sod(n) for n = 578838451896 and 578838451905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 12315711721 + ... + 12315711767.

Almost surely, 2^578838451968 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 578838451968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169300385792).

578838451968 is an abundant number, since it is smaller than the sum of its proper divisors (1759762319616).

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

578838451968 is a wasteful number, since it uses less digits than its factorization.

578838451968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 130 counting only the distinct ones).

The product of its digits is 464486400, while the sum is 72.

The spelling of 578838451968 in words is "five hundred seventy-eight billion, eight hundred thirty-eight million, four hundred fifty-one thousand, nine hundred sixty-eight".