564190000921 has 32 divisors (see below), whose sum is σ = 610890336000. Its totient is φ = 519069358080.

The previous prime is 564190000903. The next prime is 564190000937. The reversal of 564190000921 is 129000091465.

It is a 4-Lehmer number, since φ(564190000921) divides (564190000921-1)⁴.

It is a cyclic number.

It is not a de Polignac number, because 564190000921 - 2⁷ = 564190000793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (564190000901) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 437695245 + ... + 437696533.

It is an arithmetic number, because the mean of its divisors is an integer number (19090323000).

It is a Poulet number, since it divides 2^564190000920-1.

Almost surely, 2^564190000921 is an apocalyptic number.

It is an amenable number.

564190000921 is a deficient number, since it is larger than the sum of its proper divisors (46700335079).

564190000921 is a wasteful number, since it uses less digits than its factorization.

564190000921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2769.

The product of its (nonzero) digits is 19440, while the sum is 37.

The spelling of 564190000921 in words is "five hundred sixty-four billion, one hundred ninety million, nine hundred twenty-one", and thus it is an aban number.