8421064344 has 256 divisors, whose sum is σ = 29761920000. Its totient is φ = 2187077760.

The previous prime is 8421064343. The next prime is 8421064349. The reversal of 8421064344 is 4434601248.

8421064344 is a `hidden beast` number, since 8 + 4 + 2 + 1 + 0 + 643 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8421064299 and 8421064308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8421064343) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 809802 + ... + 820134.

It is an arithmetic number, because the mean of its divisors is an integer number (116257500).

Almost surely, 2^8421064344 is an apocalyptic number.

8421064344 is a gapful number since it is divisible by the number (84) 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 8421064344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14880960000).

8421064344 is an abundant number, since it is smaller than the sum of its proper divisors (21340855656).

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

8421064344 is a wasteful number, since it uses less digits than its factorization.

8421064344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10380 (or 10356 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 8421064344 is about 91766.3573647772. The cubic root of 8421064344 is about 2034.4904796050.

The spelling of 8421064344 in words is "eight billion, four hundred twenty-one million, sixty-four thousand, three hundred forty-four".