634700852352 has 1280 divisors, whose sum is σ = 2406749241600. Its totient is φ = 162533081088.

The previous prime is 634700852351. The next prime is 634700852413. The reversal of 634700852352 is 253258007436.

634700852352 is a `hidden beast` number, since 6 + 3 + 4 + 70 + 0 + 8 + 523 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 634700852298 and 634700852307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634700852351) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8694532188 + ... + 8694532260.

It is an arithmetic number, because the mean of its divisors is an integer number (1880272845).

Almost surely, 2^634700852352 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 634700852352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203374620800).

634700852352 is an abundant number, since it is smaller than the sum of its proper divisors (1772048389248).

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

634700852352 is an frugal number, since it uses more digits than its factorization.

634700852352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

Adding to 634700852352 its reverse (253258007436), we get a palindrome (887958859788).

The spelling of 634700852352 in words is "six hundred thirty-four billion, seven hundred million, eight hundred fifty-two thousand, three hundred fifty-two".