4975648560 has 360 divisors, whose sum is σ = 18314609040. Its totient is φ = 1255233024.

The previous prime is 4975648529. The next prime is 4975648571. The reversal of 4975648560 is 658465794.

4975648560 is a `hidden beast` number, since 4 + 9 + 75 + 6 + 4 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4975648497 and 4975648506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7017486 + ... + 7018194.

It is an arithmetic number, because the mean of its divisors is an integer number (50873914).

Almost surely, 2^4975648560 is an apocalyptic number.

4975648560 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 4975648560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9157304520).

4975648560 is an abundant number, since it is smaller than the sum of its proper divisors (13338960480).

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

4975648560 is a wasteful number, since it uses less digits than its factorization.

4975648560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The square root of 4975648560 is about 70538.2772684448. The cubic root of 4975648560 is about 1707.1954026514.

The spelling of 4975648560 in words is "four billion, nine hundred seventy-five million, six hundred forty-eight thousand, five hundred sixty".