578664768 has 224 divisors, whose sum is σ = 1801294848. Its totient is φ = 161996800.

The previous prime is 578664761. The next prime is 578664769. The reversal of 578664768 is 867466875.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (578664761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2549071 + ... + 2549297.

Almost surely, 2^578664768 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 578664768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900647424).

578664768 is an abundant number, since it is smaller than the sum of its proper divisors (1222630080).

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

578664768 is a wasteful number, since it uses less digits than its factorization.

578664768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 331 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 57.

The square root of 578664768 is about 24055.4519392174. The cubic root of 578664768 is about 833.3146437764.

The spelling of 578664768 in words is "five hundred seventy-eight million, six hundred sixty-four thousand, seven hundred sixty-eight".