8579741560320 has 1440 divisors, whose sum is σ = 33918585643008. Its totient is φ = 1811998605312.

The previous prime is 8579741560253. The next prime is 8579741560333. The reversal of 8579741560320 is 230651479758.

It is a super-2 number, since 2×8579741560320² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 67557020097 + ... + 67557020223.

It is a 2-persistent number, because it is pandigital, and so is 2⋅8579741560320 = 17159483120640, but 3⋅8579741560320 = 25739224680960 is not.

Almost surely, 2^{8579741560320} is an apocalyptic number.

8579741560320 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 8579741560320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16959292821504).

8579741560320 is an abundant number, since it is smaller than the sum of its proper divisors (25338844082688).

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

8579741560320 is a wasteful number, since it uses less digits than its factorization.

8579741560320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 57.

The spelling of 8579741560320 in words is "eight trillion, five hundred seventy-nine billion, seven hundred forty-one million, five hundred sixty thousand, three hundred twenty".