564123807689040 has 60 divisors (see below), whose sum is σ = 1894515787491444. Its totient is φ = 150433015383552.

The previous prime is 564123807689021. The next prime is 564123807689081. The reversal of 564123807689040 is 40986708321465.

564123807689040 is a `hidden beast` number, since 5 + 6 + 412 + 38 + 0 + 7 + 68 + 90 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 225946713762576 + 338177093926464 = 15031524^2 + 18389592^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×564123807689040² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 391752643509 + ... + 391752644948.

It is a 1-persistent number, because it is pandigital, but 2⋅564123807689040 = 1128247615378080 is not.

Almost surely, 2^{564123807689040} is an apocalyptic number.

It is an amenable number.

564123807689040 is an abundant number, since it is smaller than the sum of its proper divisors (1330391979802404).

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

564123807689040 is a wasteful number, since it uses less digits than its factorization.

564123807689040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783505288476 (or 783505288467 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 564123807689040 in words is "five hundred sixty-four trillion, one hundred twenty-three billion, eight hundred seven million, six hundred eighty-nine thousand, forty".