579366967680 has 512 divisors, whose sum is σ = 2147820364800. Its totient is φ = 147319603200.

The previous prime is 579366967661. The next prime is 579366967717. The reversal of 579366967680 is 86769663975.

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 = 579366967599 and 579366967608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 137909580 + ... + 137913780.

It is an arithmetic number, because the mean of its divisors is an integer number (4194961650).

Almost surely, 2^579366967680 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 579366967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073910182400).

579366967680 is an abundant number, since it is smaller than the sum of its proper divisors (1568453397120).

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

579366967680 is a wasteful number, since it uses less digits than its factorization.

579366967680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4599 (or 4581 counting only the distinct ones).

The product of its (nonzero) digits is 617258880, while the sum is 72.

The spelling of 579366967680 in words is "five hundred seventy-nine billion, three hundred sixty-six million, nine hundred sixty-seven thousand, six hundred eighty".