578976608471040 has 3840 divisors, whose sum is σ = 2498573414937600. Its totient is φ = 126778223886336.

The previous prime is 578976608471039. The next prime is 578976608471069. The reversal of 578976608471040 is 40174806679875.

578976608471040 is a `hidden beast` number, since 5 + 7 + 8 + 9 + 7 + 6 + 608 + 4 + 7 + 1 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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

It is a self number, because there is not a number n which added to its sum of digits gives 578976608471040.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 375227872509 + ... + 375227874051.

It is an arithmetic number, because the mean of its divisors is an integer number (650670160140).

Almost surely, 2^{578976608471040} 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 578976608471040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249286707468800).

578976608471040 is an abundant number, since it is smaller than the sum of its proper divisors (1919596806466560).

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

578976608471040 is a wasteful number, since it uses less digits than its factorization.

578976608471040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1724 (or 1695 counting only the distinct ones).

The product of its (nonzero) digits is 568995840, while the sum is 72.

The spelling of 578976608471040 in words is "five hundred seventy-eight trillion, nine hundred seventy-six billion, six hundred eight million, four hundred seventy-one thousand, forty".