663829585864704 has 1152 divisors, whose sum is σ = 2408073630842880. Its totient is φ = 178353158750208.

The previous prime is 663829585864693. The next prime is 663829585864723. The reversal of 663829585864704 is 407468585928366.

663829585864704 is a `hidden beast` number, since 6 + 6 + 3 + 8 + 2 + 95 + 8 + 58 + 6 + 470 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 78587611009 + ... + 78587619455.

It is an arithmetic number, because the mean of its divisors is an integer number (2090341693440).

Almost surely, 2^{663829585864704} is an apocalyptic number.

663829585864704 is a gapful number since it is divisible by the number (64) 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 663829585864704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204036815421440).

663829585864704 is an abundant number, since it is smaller than the sum of its proper divisors (1744244044978176).

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

663829585864704 is a wasteful number, since it uses less digits than its factorization.

663829585864704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9835 (or 9803 counting only the distinct ones).

The product of its (nonzero) digits is 16721510400, while the sum is 81.

The spelling of 663829585864704 in words is "six hundred sixty-three trillion, eight hundred twenty-nine billion, five hundred eighty-five million, eight hundred sixty-four thousand, seven hundred four".