8635641072 has 80 divisors (see below), whose sum is σ = 23284322208. Its totient is φ = 2755317760.

The previous prime is 8635641071. The next prime is 8635641089. The reversal of 8635641072 is 2701465368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8635641071) 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, 62908 + ... + 145700.

Almost surely, 2^8635641072 is an apocalyptic number.

8635641072 is a gapful number since it is divisible by the number (82) 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 8635641072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11642161104).

8635641072 is an abundant number, since it is smaller than the sum of its proper divisors (14648681136).

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

8635641072 is a wasteful number, since it uses less digits than its factorization.

8635641072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82898 (or 82892 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 8635641072 is about 92928.1500515317. The cubic root of 8635641072 is about 2051.6260010187.

The spelling of 8635641072 in words is "eight billion, six hundred thirty-five million, six hundred forty-one thousand, seventy-two".