6634585485990 has 1152 divisors, whose sum is σ = 24019844779008. Its totient is φ = 1277045637120.

The previous prime is 6634585485971. The next prime is 6634585486013. The reversal of 6634585485990 is 995845854366.

It is a happy number.

6634585485990 is a `hidden beast` number, since 6 + 6 + 3 + 4 + 58 + 5 + 485 + 9 + 90 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 5754193254 + ... + 5754194406.

It is an arithmetic number, because the mean of its divisors is an integer number (20850559704).

Almost surely, 2^{6634585485990} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6634585485990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12009922389504).

6634585485990 is an abundant number, since it is smaller than the sum of its proper divisors (17385259293018).

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

6634585485990 is a wasteful number, since it uses less digits than its factorization.

6634585485990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 1119744000, while the sum is 72.

The spelling of 6634585485990 in words is "six trillion, six hundred thirty-four billion, five hundred eighty-five million, four hundred eighty-five thousand, nine hundred ninety".