634130735616 has 360 divisors, whose sum is σ = 2132941975164. Its totient is φ = 180840038400.

The previous prime is 634130735603. The next prime is 634130735621. The reversal of 634130735616 is 616537031436.

634130735616 is a `hidden beast` number, since 6 + 3 + 4 + 13 + 0 + 73 + 561 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 500244998400 + 133885737216 = 707280^2 + 365904^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 135698656 + ... + 135703328.

Almost surely, 2^634130735616 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 634130735616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066470987582).

634130735616 is an abundant number, since it is smaller than the sum of its proper divisors (1498811239548).

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

634130735616 is a wasteful number, since it uses less digits than its factorization.

634130735616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5312 (or 5286 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 634130735616 in words is "six hundred thirty-four billion, one hundred thirty million, seven hundred thirty-five thousand, six hundred sixteen".