634352420520 has 384 divisors, whose sum is σ = 2547970064640. Its totient is φ = 133284372480.

The previous prime is 634352420497. The next prime is 634352420521. The reversal of 634352420520 is 25024253436.

634352420520 is a `hidden beast` number, since 6 + 3 + 43 + 52 + 42 + 0 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (634352420521) 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 95 ways as a sum of consecutive naturals, for example, 7854987 + ... + 7935333.

It is an arithmetic number, because the mean of its divisors is an integer number (6635338710).

Almost surely, 2^634352420520 is an apocalyptic number.

634352420520 is a gapful number since it is divisible by the number (60) 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 634352420520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273985032320).

634352420520 is an abundant number, since it is smaller than the sum of its proper divisors (1913617644120).

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

634352420520 is a wasteful number, since it uses less digits than its factorization.

634352420520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80625 (or 80618 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 634352420520 its reverse (25024253436), we get a palindrome (659376673956).

The spelling of 634352420520 in words is "six hundred thirty-four billion, three hundred fifty-two million, four hundred twenty thousand, five hundred twenty".