634289920538976 has 288 divisors, whose sum is σ = 1979375572661760. Its totient is φ = 191463286689792.

The previous prime is 634289920538959. The next prime is 634289920538977. The reversal of 634289920538976 is 679835029982436.

634289920538976 is a `hidden beast` number, since 6 + 3 + 4 + 2 + 8 + 9 + 9 + 2 + 0 + 538 + 9 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 634289920538895 and 634289920538904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (634289920538977) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1910535745 + ... + 1910867711.

It is an arithmetic number, because the mean of its divisors is an integer number (6872831849520).

Almost surely, 2^{634289920538976} 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 634289920538976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (989687786330880).

634289920538976 is an abundant number, since it is smaller than the sum of its proper divisors (1345085652122784).

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

634289920538976 is a wasteful number, since it uses less digits than its factorization.

634289920538976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341678 (or 341667 counting only the distinct ones).

The product of its (nonzero) digits is 8465264640, while the sum is 81.

The spelling of 634289920538976 in words is "six hundred thirty-four trillion, two hundred eighty-nine billion, nine hundred twenty million, five hundred thirty-eight thousand, nine hundred seventy-six".