8465393664 has 576 divisors, whose sum is σ = 31004064000. Its totient is φ = 2210955264.

The previous prime is 8465393663. The next prime is 8465393669. The reversal of 8465393664 is 4663935648.

8465393664 is a `hidden beast` number, since 8 + 46 + 539 + 3 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

Its product of digits (11197440) is a multiple of the sum of its prime divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 8465393664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8465393663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82188237 + ... + 82188339.

It is an arithmetic number, because the mean of its divisors is an integer number (53826500).

Almost surely, 2^8465393664 is an apocalyptic number.

8465393664 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 8465393664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15502032000).

8465393664 is an abundant number, since it is smaller than the sum of its proper divisors (22538670336).

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

8465393664 is a wasteful number, since it uses less digits than its factorization.

8465393664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 128 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 54.

The square root of 8465393664 is about 92007.5739491049. The cubic root of 8465393664 is about 2038.0541537793.

The spelling of 8465393664 in words is "eight billion, four hundred sixty-five million, three hundred ninety-three thousand, six hundred sixty-four".