4627528066560 has 640 divisors, whose sum is σ = 17171158118400. Its totient is φ = 1041275289600.

The previous prime is 4627528066529. The next prime is 4627528066591. The reversal of 4627528066560 is 656608257264.

It is a happy number.

It is a Cunningham number, because it is equal to 2151169²-1.

It is an interprime number because it is at equal distance from previous prime (4627528066529) and next prime (4627528066591).

It is a tau number, because it is divible by the number of its divisors (640).

It is a self number, because there is not a number n which added to its sum of digits gives 4627528066560.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1652097160 + ... + 1652099960.

It is an arithmetic number, because the mean of its divisors is an integer number (26829934560).

Almost surely, 2^{4627528066560} is an apocalyptic number.

4627528066560 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 4627528066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8585579059200).

4627528066560 is an abundant number, since it is smaller than the sum of its proper divisors (12543630051840).

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

4627528066560 is a wasteful number, since it uses less digits than its factorization.

4627528066560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3302 (or 3286 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 57.

The spelling of 4627528066560 in words is "four trillion, six hundred twenty-seven billion, five hundred twenty-eight million, sixty-six thousand, five hundred sixty".