1663627392 has 96 divisors (see below), whose sum is σ = 5471182080. Its totient is φ = 475319808.

The previous prime is 1663627379. The next prime is 1663627393. The reversal of 1663627392 is 2937263661.

1663627392 is a `hidden beast` number, since 1 + 6 + 636 + 2 + 7 + 3 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1663627393) 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 11 ways as a sum of consecutive naturals, for example, 95088 + ... + 111215.

It is an arithmetic number, because the mean of its divisors is an integer number (56991480).

Almost surely, 2^1663627392 is an apocalyptic number.

1663627392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1663627392 is an abundant number, since it is smaller than the sum of its proper divisors (3807554688).

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

1663627392 is a wasteful number, since it uses less digits than its factorization.

1663627392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206330 (or 206315 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 1663627392 is about 40787.5887004858. The cubic root of 1663627392 is about 1184.9099712622.

The spelling of 1663627392 in words is "one billion, six hundred sixty-three million, six hundred twenty-seven thousand, three hundred ninety-two".