863669664 has 288 divisors, whose sum is σ = 2937864384. Its totient is φ = 237219840.

The previous prime is 863669647. The next prime is 863669669. The reversal of 863669664 is 466966368.

863669664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 863669664.

It is not an unprimeable number, because it can be changed into a prime (863669669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2759172 + ... + 2759484.

It is an arithmetic number, because the mean of its divisors is an integer number (10200918).

Almost surely, 2^863669664 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 863669664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1468932192).

863669664 is an abundant number, since it is smaller than the sum of its proper divisors (2074194720).

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

863669664 is a wasteful number, since it uses less digits than its factorization.

863669664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 409 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The square root of 863669664 is about 29388.2572467304. The cubic root of 863669664 is about 952.3192324409.

The spelling of 863669664 in words is "eight hundred sixty-three million, six hundred sixty-nine thousand, six hundred sixty-four".