4668752520 has 640 divisors, whose sum is σ = 17663754240. Its totient is φ = 1101703680.

The previous prime is 4668752519. The next prime is 4668752521. The reversal of 4668752520 is 252578664.

4668752520 is a `hidden beast` number, since 46 + 6 + 87 + 5 + 2 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (4668752519) and next prime (4668752521).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4668752521) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 99335137 + ... + 99335183.

It is an arithmetic number, because the mean of its divisors is an integer number (27599616).

Almost surely, 2^4668752520 is an apocalyptic number.

4668752520 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 4668752520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8831877120).

4668752520 is an abundant number, since it is smaller than the sum of its proper divisors (12995001720).

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

4668752520 is a wasteful number, since it uses less digits than its factorization.

4668752520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 4668752520 is about 68328.2702839754. The cubic root of 4668752520 is about 1671.3482508599.

The spelling of 4668752520 in words is "four billion, six hundred sixty-eight million, seven hundred fifty-two thousand, five hundred twenty".