845489664 has 400 divisors, whose sum is σ = 2822252400. Its totient is φ = 250822656.

The previous prime is 845489641. The next prime is 845489677. The reversal of 845489664 is 466984548.

845489664 is a `hidden beast` number, since 8 + 4 + 548 + 96 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (6635520) is a multiple of the sum of its prime divisors (90).

It is a self number, because there is not a number n which added to its sum of digits gives 845489664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22851054 + ... + 22851090.

It is an arithmetic number, because the mean of its divisors is an integer number (7055631).

Almost surely, 2^845489664 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 845489664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411126200).

845489664 is an abundant number, since it is smaller than the sum of its proper divisors (1976762736).

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

845489664 is a wasteful number, since it uses less digits than its factorization.

845489664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 90 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The square root of 845489664 is about 29077.3049645252. The cubic root of 845489664 is about 945.5897754570.

The spelling of 845489664 in words is "eight hundred forty-five million, four hundred eighty-nine thousand, six hundred sixty-four".