4490635968 has 252 divisors, whose sum is σ = 16126175520. Its totient is φ = 1184246784.

The previous prime is 4490635967. The next prime is 4490635999. The reversal of 4490635968 is 8695360944.

4490635968 is a `hidden beast` number, since 4 + 49 + 0 + 6 + 3 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×4490635968² = 40331622794190594048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4490635967) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 360793 + ... + 373031.

It is an arithmetic number, because the mean of its divisors is an integer number (63992760).

Almost surely, 2^4490635968 is an apocalyptic number.

4490635968 is a gapful number since it is divisible by the number (48) 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 4490635968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8063087760).

4490635968 is an abundant number, since it is smaller than the sum of its proper divisors (11635539552).

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

4490635968 is a wasteful number, since it uses less digits than its factorization.

4490635968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12284 (or 12264 counting only the distinct ones).

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

The square root of 4490635968 is about 67012.2076042865. The cubic root of 4490635968 is about 1649.8176680066.

The spelling of 4490635968 in words is "four billion, four hundred ninety million, six hundred thirty-five thousand, nine hundred sixty-eight".