4663449072 has 320 divisors, whose sum is σ = 14696281600. Its totient is φ = 1410877440.

The previous prime is 4663449067. The next prime is 4663449083. The reversal of 4663449072 is 2709443664.

It is a happy number.

4663449072 is a `hidden beast` number, since 4 + 6 + 634 + 4 + 9 + 0 + 7 + 2 = 666.

It is a super-2 number, since 2×4663449072² = 43495514494275322368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25764822 + ... + 25765002.

It is an arithmetic number, because the mean of its divisors is an integer number (45925880).

Almost surely, 2^4663449072 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 4663449072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7348140800).

4663449072 is an abundant number, since it is smaller than the sum of its proper divisors (10032832528).

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

4663449072 is a wasteful number, since it uses less digits than its factorization.

4663449072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 4663449072 is about 68289.4506640667. The cubic root of 4663449072 is about 1670.7151576210.

The spelling of 4663449072 in words is "four billion, six hundred sixty-three million, four hundred forty-nine thousand, seventy-two".