634240217664 has 189 divisors, whose sum is σ = 1889296997497. Its totient is φ = 211241385216.

The previous prime is 634240217659. The next prime is 634240217747. The reversal of 634240217664 is 466712042436.

The square root of 634240217664 is 796392.

It is a perfect power (a square), and thus also a powerful number.

634240217664 is a `hidden beast` number, since 6 + 3 + 424 + 0 + 217 + 6 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 626010099264 + 8230118400 = 791208^2 + 90720^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 516061402 + ... + 516062630.

Almost surely, 2^634240217664 is an apocalyptic number.

634240217664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

634240217664 is the 796392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 634240217664

634240217664 is an abundant number, since it is smaller than the sum of its proper divisors (1255056779833).

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

634240217664 is an frugal number, since it uses more digits than its factorization.

634240217664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2494 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 634240217664 in words is "six hundred thirty-four billion, two hundred forty million, two hundred seventeen thousand, six hundred sixty-four".