4875162624 has 396 divisors, whose sum is σ = 15853875804. Its totient is φ = 1436811264.

The previous prime is 4875162623. The next prime is 4875162659. The reversal of 4875162624 is 4262615784.

4875162624 is a `hidden beast` number, since 4 + 8 + 7 + 5 + 16 + 2 + 624 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 738100224 + 4137062400 = 27168^2 + 64320^2 .

It is a super-2 number, since 2×4875162624² = 47534421220893130752, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4875162624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4875162623) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 131761134 + ... + 131761170.

Almost surely, 2^4875162624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4875162624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7926937902).

4875162624 is an abundant number, since it is smaller than the sum of its proper divisors (10978713180).

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

4875162624 is a wasteful number, since it uses less digits than its factorization.

4875162624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 88 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 4875162624 is about 69822.3647837854. The cubic root of 4875162624 is about 1695.6245757374.

The spelling of 4875162624 in words is "four billion, eight hundred seventy-five million, one hundred sixty-two thousand, six hundred twenty-four".