634288434768 has 240 divisors, whose sum is σ = 1856455286400. Its totient is φ = 201909335040.

The previous prime is 634288434761. The next prime is 634288434803. The reversal of 634288434768 is 867434882436.

It is a happy number.

634288434768 is a `hidden beast` number, since 6 + 3 + 4 + 288 + 4 + 347 + 6 + 8 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634288434761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 403747423 + ... + 403748993.

It is an arithmetic number, because the mean of its divisors is an integer number (7735230360).

Almost surely, 2^634288434768 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 634288434768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928227643200).

634288434768 is an abundant number, since it is smaller than the sum of its proper divisors (1222166851632).

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

634288434768 is a wasteful number, since it uses less digits than its factorization.

634288434768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2610 (or 2601 counting only the distinct ones).

The product of its digits is 148635648, while the sum is 63.

The spelling of 634288434768 in words is "six hundred thirty-four billion, two hundred eighty-eight million, four hundred thirty-four thousand, seven hundred sixty-eight".