566964670272 has 1344 divisors, whose sum is σ = 2156098043904. Its totient is φ = 127733760000.

The previous prime is 566964670253. The next prime is 566964670301. The reversal of 566964670272 is 272076469665.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2687036247 + ... + 2687036457.

It is an arithmetic number, because the mean of its divisors is an integer number (1604239616).

Almost surely, 2^566964670272 is an apocalyptic number.

566964670272 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 566964670272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078049021952).

566964670272 is an abundant number, since it is smaller than the sum of its proper divisors (1589133373632).

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

566964670272 is a wasteful number, since it uses less digits than its factorization.

566964670272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 60.

The spelling of 566964670272 in words is "five hundred sixty-six billion, nine hundred sixty-four million, six hundred seventy thousand, two hundred seventy-two".