844529664 has 192 divisors, whose sum is σ = 2510252640. Its totient is φ = 252313600.

The previous prime is 844529629. The next prime is 844529681. The reversal of 844529664 is 466925448.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11894749 + ... + 11894819.

Almost surely, 2^844529664 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 844529664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255126320).

844529664 is an abundant number, since it is smaller than the sum of its proper divisors (1665722976).

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

844529664 is an equidigital number, since it uses as much as digits as its factorization.

844529664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 87 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 48.

The square root of 844529664 is about 29060.7925562948. The cubic root of 844529664 is about 945.2317541389.

The spelling of 844529664 in words is "eight hundred forty-four million, five hundred twenty-nine thousand, six hundred sixty-four".