4490978688 has 256 divisors, whose sum is σ = 15361689600. Its totient is φ = 1265061888.

The previous prime is 4490978683. The next prime is 4490978707. The reversal of 4490978688 is 8868790944.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4490978683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1764745 + ... + 1767287.

It is an arithmetic number, because the mean of its divisors is an integer number (60006600).

Almost surely, 2^4490978688 is an apocalyptic number.

4490978688 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 4490978688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7680844800).

4490978688 is an abundant number, since it is smaller than the sum of its proper divisors (10870710912).

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

4490978688 is a wasteful number, since it uses less digits than its factorization.

4490978688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2646 (or 2628 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The square root of 4490978688 is about 67014.7647015193. The cubic root of 4490978688 is about 1649.8596376468.

The spelling of 4490978688 in words is "four billion, four hundred ninety million, nine hundred seventy-eight thousand, six hundred eighty-eight".