8579407945920 has 672 divisors, whose sum is σ = 31875350869440. Its totient is φ = 1949387489280.

The previous prime is 8579407945861. The next prime is 8579407945957. The reversal of 8579407945920 is 295497049758.

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

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, 7264527730 + ... + 7264528910.

Almost surely, 2^{8579407945920} is an apocalyptic number.

8579407945920 is a gapful number since it is divisible by the number (80) 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 8579407945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15937675434720).

8579407945920 is an abundant number, since it is smaller than the sum of its proper divisors (23295942923520).

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

8579407945920 is a wasteful number, since it uses less digits than its factorization.

8579407945920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2001 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 228614400, while the sum is 69.

The spelling of 8579407945920 in words is "eight trillion, five hundred seventy-nine billion, four hundred seven million, nine hundred forty-five thousand, nine hundred twenty".