4962825504 has 768 divisors, whose sum is σ = 19508428800. Its totient is φ = 1190412288.

The previous prime is 4962825499. The next prime is 4962825547. The reversal of 4962825504 is 4055282694.

4962825504 is a `hidden beast` number, since 4 + 9 + 62 + 82 + 5 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4962825504.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 62820537 + ... + 62820615.

It is an arithmetic number, because the mean of its divisors is an integer number (25401600).

Almost surely, 2^4962825504 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 4962825504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9754214400).

4962825504 is an abundant number, since it is smaller than the sum of its proper divisors (14545603296).

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

4962825504 is a wasteful number, since it uses less digits than its factorization.

4962825504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 4962825504 is about 70447.3243210840. The cubic root of 4962825504 is about 1705.7275675265.

The spelling of 4962825504 in words is "four billion, nine hundred sixty-two million, eight hundred twenty-five thousand, five hundred four".