8449211264 has 64 divisors (see below), whose sum is σ = 18180696240. Its totient is φ = 3888132096.

The previous prime is 8449211263. The next prime is 8449211269. The reversal of 8449211264 is 4621129448.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8449211263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 570092 + ... + 584724.

Almost surely, 2^8449211264 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 8449211264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9090348120).

8449211264 is an abundant number, since it is smaller than the sum of its proper divisors (9731484976).

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

8449211264 is a wasteful number, since it uses less digits than its factorization.

8449211264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15007 (or 14995 counting only the distinct ones).

The product of its digits is 110592, while the sum is 41.

The square root of 8449211264 is about 91919.5912958712. The cubic root of 8449211264 is about 2036.7546810327.

The spelling of 8449211264 in words is "eight billion, four hundred forty-nine million, two hundred eleven thousand, two hundred sixty-four".