4494679840 has 288 divisors, whose sum is σ = 13054290480. Its totient is φ = 1455906816.

The previous prime is 4494679829. The next prime is 4494679933. The reversal of 4494679840 is 489764944.

It can be written as a sum of positive squares in 8 ways, for example, as 2594068624 + 1900611216 = 50932^2 + 43596^2 .

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 12049894 + ... + 12050266.

Almost surely, 2^4494679840 is an apocalyptic number.

4494679840 is a gapful number since it is divisible by the number (40) 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 4494679840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6527145240).

4494679840 is an abundant number, since it is smaller than the sum of its proper divisors (8559610640).

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

4494679840 is a wasteful number, since it uses less digits than its factorization.

4494679840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 55.

The square root of 4494679840 is about 67042.3734663384. The cubic root of 4494679840 is about 1650.3127463494.

The spelling of 4494679840 in words is "four billion, four hundred ninety-four million, six hundred seventy-nine thousand, eight hundred forty".