8120569632 has 96 divisors (see below), whose sum is σ = 24477594624. Its totient is φ = 2309126400.

The previous prime is 8120569627. The next prime is 8120569637. The reversal of 8120569632 is 2369650218.

It is an interprime number because it is at equal distance from previous prime (8120569627) and next prime (8120569637).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×8120569632² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (8120569637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113157 + ... + 170427.

It is an arithmetic number, because the mean of its divisors is an integer number (254974944).

Almost surely, 2^8120569632 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 8120569632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12238797312).

8120569632 is an abundant number, since it is smaller than the sum of its proper divisors (16357024992).

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

8120569632 is a wasteful number, since it uses less digits than its factorization.

8120569632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57502 (or 57494 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 8120569632 is about 90114.2032756213. The cubic root of 8120569632 is about 2009.9974119419.

The spelling of 8120569632 in words is "eight billion, one hundred twenty million, five hundred sixty-nine thousand, six hundred thirty-two".