564618456990 has 96 divisors (see below), whose sum is σ = 1677870956736. Its totient is φ = 129044298240.

The previous prime is 564618456979. The next prime is 564618456991. The reversal of 564618456990 is 99654816465.

564618456990 is a `hidden beast` number, since 5 + 6 + 4 + 61 + 8 + 4 + 569 + 9 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564618456991) 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, 8649514 + ... + 8714546.

It is an arithmetic number, because the mean of its divisors is an integer number (17477822466).

Almost surely, 2^564618456990 is an apocalyptic number.

564618456990 is an abundant number, since it is smaller than the sum of its proper divisors (1113252499746).

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

564618456990 is a wasteful number, since it uses less digits than its factorization.

564618456990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78834 (or 78831 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 564618456990 in words is "five hundred sixty-four billion, six hundred eighteen million, four hundred fifty-six thousand, nine hundred ninety".