8437829764 has 96 divisors (see below), whose sum is σ = 18492364800. Its totient is φ = 3280020480.

The previous prime is 8437829723. The next prime is 8437829779. The reversal of 8437829764 is 4679287348.

It is a super-2 number, since 2×8437829764² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8437829699 and 8437829708.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5862957 + ... + 5864395.

It is an arithmetic number, because the mean of its divisors is an integer number (192628800).

Almost surely, 2^8437829764 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 8437829764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9246182400).

8437829764 is an abundant number, since it is smaller than the sum of its proper divisors (10054535036).

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

8437829764 is a wasteful number, since it uses less digits than its factorization.

8437829764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1733 (or 1731 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 58.

The square root of 8437829764 is about 91857.6603446876. The cubic root of 8437829764 is about 2035.8397340921.

The spelling of 8437829764 in words is "eight billion, four hundred thirty-seven million, eight hundred twenty-nine thousand, seven hundred sixty-four".