634514217088 has 128 divisors (see below), whose sum is σ = 1327313433600. Its totient is φ = 301564032000.

The previous prime is 634514217067. The next prime is 634514217091. The reversal of 634514217088 is 880712415436.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 486963445 + ... + 486964747.

It is an arithmetic number, because the mean of its divisors is an integer number (10369636200).

Almost surely, 2^634514217088 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 634514217088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663656716800).

634514217088 is an abundant number, since it is smaller than the sum of its proper divisors (692799216512).

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

634514217088 is a wasteful number, since it uses less digits than its factorization.

634514217088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2250 (or 2238 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 49.

The spelling of 634514217088 in words is "six hundred thirty-four billion, five hundred fourteen million, two hundred seventeen thousand, eighty-eight".