634729676130 has 96 divisors (see below), whose sum is σ = 1803125862720. Its totient is φ = 153634400640.

The previous prime is 634729676111. The next prime is 634729676131. The reversal of 634729676130 is 31676927436.

It is a happy number.

634729676130 is a `hidden beast` number, since 6 + 3 + 472 + 96 + 76 + 13 + 0 = 666.

634729676130 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (634729676131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138016 + ... + 1135124.

It is an arithmetic number, because the mean of its divisors is an integer number (18782561070).

Almost surely, 2^634729676130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 634729676130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901562931360).

634729676130 is an abundant number, since it is smaller than the sum of its proper divisors (1168396186590).

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

634729676130 is a wasteful number, since it uses less digits than its factorization.

634729676130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997776 (or 997773 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 634729676130 in words is "six hundred thirty-four billion, seven hundred twenty-nine million, six hundred seventy-six thousand, one hundred thirty".