4976159016960 has 288 divisors, whose sum is σ = 17841188547000. Its totient is φ = 1281217265664.

The previous prime is 4976159016949. The next prime is 4976159016971. The reversal of 4976159016960 is 696109516794.

4976159016960 is a `hidden beast` number, since 4 + 9 + 7 + 615 + 9 + 0 + 1 + 6 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4976159016949) and next prime (4976159016971).

It can be written as a sum of positive squares in 4 ways, for example, as 3479627621376 + 1496531395584 = 1865376^2 + 1223328^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1741696 + ... + 3603584.

Almost surely, 2^{4976159016960} is an apocalyptic number.

4976159016960 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 4976159016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8920594273500).

4976159016960 is an abundant number, since it is smaller than the sum of its proper divisors (12865029530040).

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

4976159016960 is a wasteful number, since it uses less digits than its factorization.

4976159016960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1861951 (or 1861928 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 63.

The spelling of 4976159016960 in words is "four trillion, nine hundred seventy-six billion, one hundred fifty-nine million, sixteen thousand, nine hundred sixty".