4561663392 has 480 divisors, whose sum is σ = 16310536704. Its totient is φ = 1231718400.

The previous prime is 4561663367. The next prime is 4561663399. The reversal of 4561663392 is 2933661654.

4561663392 is a `hidden beast` number, since 4 + 5 + 6 + 1 + 6 + 633 + 9 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (4561663399) 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 79 ways as a sum of consecutive naturals, for example, 11490138 + ... + 11490534.

Almost surely, 2^4561663392 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 4561663392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8155268352).

4561663392 is an abundant number, since it is smaller than the sum of its proper divisors (11748873312).

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

4561663392 is a wasteful number, since it uses less digits than its factorization.

4561663392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 457 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The square root of 4561663392 is about 67540.0872963605. The cubic root of 4561663392 is about 1658.4704777151.

The spelling of 4561663392 in words is "four billion, five hundred sixty-one million, six hundred sixty-three thousand, three hundred ninety-two".