634962192893952 has 1536 divisors, whose sum is σ = 2269647184896000. Its totient is φ = 152803108454400.

The previous prime is 634962192893947. The next prime is 634962192893953. The reversal of 634962192893952 is 259398291269436.

It is a tau number, because it is divible by the number of its divisors (1536).

It is not an unprimeable number, because it can be changed into a prime (634962192893953) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 605302375924 + ... + 605302376972.

It is an arithmetic number, because the mean of its divisors is an integer number (1477634886000).

Almost surely, 2^{634962192893952} 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 634962192893952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134823592448000).

634962192893952 is an abundant number, since it is smaller than the sum of its proper divisors (1634684992002048).

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

634962192893952 is a wasteful number, since it uses less digits than its factorization.

634962192893952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2213 (or 2193 counting only the distinct ones).

The product of its digits is 2720977920, while the sum is 78.

The spelling of 634962192893952 in words is "six hundred thirty-four trillion, nine hundred sixty-two billion, one hundred ninety-two million, eight hundred ninety-three thousand, nine hundred fifty-two".