578214879603264 has 252 divisors, whose sum is σ = 1723813567084284. Its totient is φ = 192423789444096.

The previous prime is 578214879603241. The next prime is 578214879603301. The reversal of 578214879603264 is 462306978412875.

578214879603264 is a `hidden beast` number, since 5 + 7 + 8 + 2 + 1 + 4 + 8 + 7 + 9 + 603 + 2 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3521657585664 + 574693222017600 = 1876608^2 + 23972760^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 578214879603192 and 578214879603201.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 256277974 + ... + 258524330.

It is a 1-persistent number, because it is pandigital, but 2⋅578214879603264 = 1156429759206528 is not.

Almost surely, 2^{578214879603264} is an apocalyptic number.

578214879603264 is a gapful number since it is divisible by the number (54) 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 578214879603264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861906783542142).

578214879603264 is an abundant number, since it is smaller than the sum of its proper divisors (1145598687481020).

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

578214879603264 is an frugal number, since it uses more digits than its factorization.

578214879603264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2247006 (or 2246975 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 578214879603264 in words is "five hundred seventy-eight trillion, two hundred fourteen billion, eight hundred seventy-nine million, six hundred three thousand, two hundred sixty-four".