8240820016 has 80 divisors (see below), whose sum is σ = 18783797760. Its totient is φ = 3452924160.

The previous prime is 8240819999. The next prime is 8240820031. The reversal of 8240820016 is 6100280428.

It is a super-2 number, since 2×8240820016² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 8240820016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2018265 + ... + 2022343.

It is an arithmetic number, because the mean of its divisors is an integer number (234797472).

Almost surely, 2^8240820016 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 8240820016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9391898880).

8240820016 is an abundant number, since it is smaller than the sum of its proper divisors (10542977744).

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

8240820016 is a wasteful number, since it uses less digits than its factorization.

8240820016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4994 (or 4988 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 8240820016 is about 90778.9624086991. The cubic root of 8240820016 is about 2019.8702671314.

The spelling of 8240820016 in words is "eight billion, two hundred forty million, eight hundred twenty thousand, sixteen".