566672064 has 336 divisors, whose sum is σ = 1890247680. Its totient is φ = 149022720.

The previous prime is 566672059. The next prime is 566672081. The reversal of 566672064 is 460276665.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×566672064² = 642234456236040192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8457759 + ... + 8457825.

Almost surely, 2^566672064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 566672064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945123840).

566672064 is an abundant number, since it is smaller than the sum of its proper divisors (1323575616).

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

566672064 is a wasteful number, since it uses less digits than its factorization.

566672064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 566672064 is about 23804.8747948818. The cubic root of 566672064 is about 827.5176541415.

The spelling of 566672064 in words is "five hundred sixty-six million, six hundred seventy-two thousand, sixty-four".