4493329632 has 192 divisors, whose sum is σ = 14343678720. Its totient is φ = 1357171200.

The previous prime is 4493329613. The next prime is 4493329649. The reversal of 4493329632 is 2369233944.

4493329632 is a `hidden beast` number, since 4 + 4 + 9 + 3 + 3 + 2 + 9 + 632 = 666.

It is a super-2 number, since 2×4493329632² = 40380022363618510848, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4000623 + ... + 4001745.

It is an arithmetic number, because the mean of its divisors is an integer number (74706660).

Almost surely, 2^4493329632 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 4493329632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7171839360).

4493329632 is an abundant number, since it is smaller than the sum of its proper divisors (9850349088).

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

4493329632 is a wasteful number, since it uses less digits than its factorization.

4493329632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1574 (or 1560 counting only the distinct ones).

The product of its digits is 839808, while the sum is 45.

The square root of 4493329632 is about 67032.3028994231. The cubic root of 4493329632 is about 1650.1474777271.

The spelling of 4493329632 in words is "four billion, four hundred ninety-three million, three hundred twenty-nine thousand, six hundred thirty-two".