9879564816 has 225 divisors, whose sum is σ = 31555846399. Its totient is φ = 2981880000.

The previous prime is 9879564757. The next prime is 9879564817. The reversal of 9879564816 is 6184659789.

The square root of 9879564816 is 99396.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×9879564816² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (9879564817) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 39360691 + ... + 39360941.

Almost surely, 2^9879564816 is an apocalyptic number.

9879564816 is the 99396-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9879564816

9879564816 is an abundant number, since it is smaller than the sum of its proper divisors (21676281583).

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

9879564816 is a wasteful number, since it uses less digits than its factorization.

9879564816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 267 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 63.

The cubic root of 9879564816 is about 2145.7507431288.

The spelling of 9879564816 in words is "nine billion, eight hundred seventy-nine million, five hundred sixty-four thousand, eight hundred sixteen".