581976679680 has 1512 divisors, whose sum is σ = 2395929624480. Its totient is φ = 134219980800.

The previous prime is 581976679679. The next prime is 581976679717. The reversal of 581976679680 is 86976679185.

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 = 581976679599 and 581976679608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 9864011491 + ... + 9864011549.

It is an arithmetic number, because the mean of its divisors is an integer number (1584609540).

Almost surely, 2^581976679680 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 581976679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197964812240).

581976679680 is an abundant number, since it is smaller than the sum of its proper divisors (1813952944800).

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

581976679680 is an equidigital number, since it uses as much as digits as its factorization.

581976679680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 72.

The spelling of 581976679680 in words is "five hundred eighty-one billion, nine hundred seventy-six million, six hundred seventy-nine thousand, six hundred eighty".