634240006560 has 144 divisors (see below), whose sum is σ = 2291658465096. Its totient is φ = 159181799424.

The previous prime is 634240006549. The next prime is 634240006567. The reversal of 634240006560 is 65600042436.

634240006560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 400521905424 + 233718101136 = 632868^2 + 483444^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 (634240006567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12929769 + ... + 12978728.

Almost surely, 2^634240006560 is an apocalyptic number.

634240006560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

634240006560 is an abundant number, since it is smaller than the sum of its proper divisors (1657418458536).

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

634240006560 is a wasteful number, since it uses less digits than its factorization.

634240006560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25908535 (or 25908524 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 634240006560 its reverse (65600042436), we get a palindrome (699840048996).

The spelling of 634240006560 in words is "six hundred thirty-four billion, two hundred forty million, six thousand, five hundred sixty".