578072678400 has 1872 divisors, whose sum is σ = 2626071295680. Its totient is φ = 123863040000.

The previous prime is 578072678329. The next prime is 578072678429. The reversal of 578072678400 is 4876270875.

It is a happy number.

578072678400 is a `hidden beast` number, since 578 + 0 + 7 + 2 + 67 + 8 + 4 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2303078275 + ... + 2303078525.

Almost surely, 2^578072678400 is an apocalyptic number.

578072678400 is a gapful number since it is divisible by the number (50) 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 578072678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313035647840).

578072678400 is an abundant number, since it is smaller than the sum of its proper divisors (2047998617280).

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

578072678400 is a wasteful number, since it uses less digits than its factorization.

578072678400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 578072678400 in words is "five hundred seventy-eight billion, seventy-two million, six hundred seventy-eight thousand, four hundred".