4627751160960 has 384 divisors, whose sum is σ = 16757744281200. Its totient is φ = 1175187750912.

The previous prime is 4627751160943. The next prime is 4627751160979. The reversal of 4627751160960 is 690611577264.

4627751160960 is a `hidden beast` number, since 4 + 6 + 2 + 7 + 7 + 511 + 60 + 9 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2857425113664 + 1770326047296 = 1690392^2 + 1330536^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 4627751160897 and 4627751160906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12004164 + ... + 12383676.

Almost surely, 2^{4627751160960} is an apocalyptic number.

4627751160960 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 4627751160960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8378872140600).

4627751160960 is an abundant number, since it is smaller than the sum of its proper divisors (12129993120240).

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

4627751160960 is a wasteful number, since it uses less digits than its factorization.

4627751160960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379640 (or 379625 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 4627751160960 in words is "four trillion, six hundred twenty-seven billion, seven hundred fifty-one million, one hundred sixty thousand, nine hundred sixty".