1566368496 has 480 divisors, whose sum is σ = 5910336000. Its totient is φ = 393724800.

The previous prime is 1566368467. The next prime is 1566368497. The reversal of 1566368496 is 6948636651.

1566368496 is a `hidden beast` number, since 1 + 566 + 36 + 8 + 49 + 6 = 666.

It is a super-2 number, since 2×1566368496² = 4907020530522604032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (5598720) is a multiple of the sum of its prime divisors (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1566368497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50528001 + ... + 50528031.

It is an arithmetic number, because the mean of its divisors is an integer number (12313200).

Almost surely, 2^1566368496 is an apocalyptic number.

1566368496 is a gapful number since it is divisible by the number (16) 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 1566368496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2955168000).

1566368496 is an abundant number, since it is smaller than the sum of its proper divisors (4343967504).

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

1566368496 is a wasteful number, since it uses less digits than its factorization.

1566368496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 54 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 1566368496 is about 39577.3735358980. The cubic root of 1566368496 is about 1161.3540707765.

The spelling of 1566368496 in words is "one billion, five hundred sixty-six million, three hundred sixty-eight thousand, four hundred ninety-six".