634503305436 has 192 divisors, whose sum is σ = 1990676653056. Its totient is φ = 151909632000.

The previous prime is 634503305431. The next prime is 634503305437.

It is a happy number.

634503305436 is nontrivially palindromic in base 10.

634503305436 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 a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634503305431) 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, 8382736 + ... + 8458088.

It is an arithmetic number, because the mean of its divisors is an integer number (10368107568).

Almost surely, 2^634503305436 is an apocalyptic number.

634503305436 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 634503305436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995338326528).

634503305436 is an abundant number, since it is smaller than the sum of its proper divisors (1356173347620).

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

634503305436 is a wasteful number, since it uses less digits than its factorization.

634503305436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76092 (or 76090 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 42.

It can be divided in two parts, 634503 and 305436, that added together give a palindrome (939939).

The spelling of 634503305436 in words is "six hundred thirty-four billion, five hundred three million, three hundred five thousand, four hundred thirty-six".