4862238624 has 192 divisors, whose sum is σ = 15002064000. Its totient is φ = 1527828480.

The previous prime is 4862238613. The next prime is 4862238637. The reversal of 4862238624 is 4268322684.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4862238624.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3955642 + ... + 3956870.

It is an arithmetic number, because the mean of its divisors is an integer number (78135750).

Almost surely, 2^4862238624 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 4862238624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7501032000).

4862238624 is an abundant number, since it is smaller than the sum of its proper divisors (10139825376).

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

4862238624 is a wasteful number, since it uses less digits than its factorization.

4862238624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508 (or 1494 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 4862238624 is about 69729.7542230001. The cubic root of 4862238624 is about 1694.1248893277.

The spelling of 4862238624 in words is "four billion, eight hundred sixty-two million, two hundred thirty-eight thousand, six hundred twenty-four".