578074890240 has 1040 divisors, whose sum is σ = 2197887753600. Its totient is φ = 145047158784.

The previous prime is 578074890229. The next prime is 578074890299. The reversal of 578074890240 is 42098470875.

It is a happy number.

578074890240 is a `hidden beast` number, since 578 + 0 + 7 + 48 + 9 + 0 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4158812091 + ... + 4158812229.

Almost surely, 2^578074890240 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 578074890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098943876800).

578074890240 is an abundant number, since it is smaller than the sum of its proper divisors (1619812863360).

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

578074890240 is a wasteful number, since it uses less digits than its factorization.

578074890240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 578074890240 in words is "five hundred seventy-eight billion, seventy-four million, eight hundred ninety thousand, two hundred forty".