578072545344 has 672 divisors, whose sum is σ = 2064993665280. Its totient is φ = 155287756800.

The previous prime is 578072545301. The next prime is 578072545361. The reversal of 578072545344 is 443545270875.

578072545344 is a `hidden beast` number, since 5 + 7 + 80 + 7 + 25 + 4 + 534 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 390325084 + ... + 390326564.

It is an arithmetic number, because the mean of its divisors is an integer number (3072907240).

Almost surely, 2^578072545344 is an apocalyptic number.

578072545344 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 578072545344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032496832640).

578072545344 is an abundant number, since it is smaller than the sum of its proper divisors (1486921119936).

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

578072545344 is a wasteful number, since it uses less digits than its factorization.

578072545344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 18816000, while the sum is 54.

The spelling of 578072545344 in words is "five hundred seventy-eight billion, seventy-two million, five hundred forty-five thousand, three hundred forty-four".