634509125740 has 192 divisors, whose sum is σ = 1651435720704. Its totient is φ = 199801147392.

The previous prime is 634509125729. The next prime is 634509125743. The reversal of 634509125740 is 47521905436.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (634509125743) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 145627642 + ... + 145631998.

It is an arithmetic number, because the mean of its divisors is an integer number (8601227712).

Almost surely, 2^634509125740 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 634509125740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825717860352).

634509125740 is an abundant number, since it is smaller than the sum of its proper divisors (1016926594964).

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

634509125740 is a wasteful number, since it uses less digits than its factorization.

634509125740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5856 (or 5854 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 46.

The spelling of 634509125740 in words is "six hundred thirty-four billion, five hundred nine million, one hundred twenty-five thousand, seven hundred forty".