634848482304 has 660 divisors, whose sum is σ = 2071059619200. Its totient is φ = 193161314304.

The previous prime is 634848482297. The next prime is 634848482329. The reversal of 634848482304 is 403284848436.

634848482304 is a `hidden beast` number, since 6 + 3 + 484 + 84 + 82 + 3 + 0 + 4 = 666.

It is a super-2 number, since 2×634848482304² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1325361937 + ... + 1325362415.

It is an arithmetic number, because the mean of its divisors is an integer number (3137969120).

Almost surely, 2^634848482304 is an apocalyptic number.

634848482304 is a gapful number since it is divisible by the number (64) 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 634848482304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035529809600).

634848482304 is an abundant number, since it is smaller than the sum of its proper divisors (1436211136896).

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

634848482304 is a wasteful number, since it uses less digits than its factorization.

634848482304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 14155776, while the sum is 54.

The spelling of 634848482304 in words is "six hundred thirty-four billion, eight hundred forty-eight million, four hundred eighty-two thousand, three hundred four".