1566876672 has 264 divisors, whose sum is σ = 4891527576. Its totient is φ = 481296384.

The previous prime is 1566876671. The next prime is 1566876691. The reversal of 1566876672 is 2766786651.

1566876672 is a `hidden beast` number, since 1 + 566 + 8 + 7 + 6 + 6 + 72 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 526427136 + 1040449536 = 22944^2 + 32256^2 .

It is not an unprimeable number, because it can be changed into a prime (1566876671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11436988 + ... + 11437124.

Almost surely, 2^1566876672 is an apocalyptic number.

1566876672 is a gapful number since it is divisible by the number (12) 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 1566876672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2445763788).

1566876672 is an abundant number, since it is smaller than the sum of its proper divisors (3324650904).

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

1566876672 is a wasteful number, since it uses less digits than its factorization.

1566876672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 232 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The square root of 1566876672 is about 39583.7930471550. The cubic root of 1566876672 is about 1161.4796496673.

The spelling of 1566876672 in words is "one billion, five hundred sixty-six million, eight hundred seventy-six thousand, six hundred seventy-two".