4959603579744 has 480 divisors, whose sum is σ = 16019341519104. Its totient is φ = 1492815467520.

The previous prime is 4959603579743. The next prime is 4959603579769. The reversal of 4959603579744 is 4479753069594.

4959603579744 is a `hidden beast` number, since 4 + 9 + 5 + 9 + 6 + 0 + 3 + 579 + 7 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4959603579743) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3321903862 + ... + 3321905354.

Almost surely, 2^{4959603579744} is an apocalyptic number.

4959603579744 is a gapful number since it is divisible by the number (44) 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 4959603579744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8009670759552).

4959603579744 is an abundant number, since it is smaller than the sum of its proper divisors (11059737939360).

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

4959603579744 is a wasteful number, since it uses less digits than its factorization.

4959603579744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2232 (or 2215 counting only the distinct ones).

The product of its (nonzero) digits is 1028764800, while the sum is 72.

It can be divided in two parts, 495960 and 3579744, that added together give a palindrome (4075704).

The spelling of 4959603579744 in words is "four trillion, nine hundred fifty-nine billion, six hundred three million, five hundred seventy-nine thousand, seven hundred forty-four".