634193961126064 has 80 divisors (see below), whose sum is σ = 1272127542912000. Its totient is φ = 305964482791680.

The previous prime is 634193961126049. The next prime is 634193961126073. The reversal of 634193961126064 is 460621169391436.

It is a junction number, because it is equal to n+sod(n) for n = 634193961125993 and 634193961126011.

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, 256028227 + ... + 258493405.

It is an arithmetic number, because the mean of its divisors is an integer number (15901594286400).

Almost surely, 2^{634193961126064} 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 634193961126064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636063771456000).

634193961126064 is an abundant number, since it is smaller than the sum of its proper divisors (637933581785936).

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

634193961126064 is a wasteful number, since it uses less digits than its factorization.

634193961126064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2466746 (or 2466740 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 61.

The spelling of 634193961126064 in words is "six hundred thirty-four trillion, one hundred ninety-three billion, nine hundred sixty-one million, one hundred twenty-six thousand, sixty-four".