4633252624 has 405 divisors, whose sum is σ = 13203152991. Its totient is φ = 1568286720.

The previous prime is 4633252577. The next prime is 4633252649. The reversal of 4633252624 is 4262523364.

The square root of 4633252624 is 68068.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 41835024 + 4591417600 = 6468^2 + 67760^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 272544264 + ... + 272544280.

Almost surely, 2^4633252624 is an apocalyptic number.

4633252624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

4633252624 is the 68068-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4633252624

4633252624 is an abundant number, since it is smaller than the sum of its proper divisors (8569900367).

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

4633252624 is a wasteful number, since it uses less digits than its factorization.

4633252624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 50 counting only the distinct ones).

The product of its digits is 207360, while the sum is 37.

The cubic root of 4633252624 is about 1667.1013126310.

Adding to 4633252624 its reverse (4262523364), we get a palindrome (8895775988).

The spelling of 4633252624 in words is "four billion, six hundred thirty-three million, two hundred fifty-two thousand, six hundred twenty-four".