4825291968 has 504 divisors, whose sum is σ = 17371003104. Its totient is φ = 1253376000.

The previous prime is 4825291957. The next prime is 4825291973. The reversal of 4825291968 is 8691925284.

It is a happy number.

4825291968 is a `hidden beast` number, since 48 + 2 + 529 + 19 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47775118 + ... + 47775218.

It is an arithmetic number, because the mean of its divisors is an integer number (34466276).

Almost surely, 2^4825291968 is an apocalyptic number.

4825291968 is a gapful number since it is divisible by the number (48) 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 4825291968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8685501552).

4825291968 is an abundant number, since it is smaller than the sum of its proper divisors (12545711136).

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

4825291968 is a wasteful number, since it uses less digits than its factorization.

4825291968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 171 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The square root of 4825291968 is about 69464.3215471079. The cubic root of 4825291968 is about 1689.8229297575.

The spelling of 4825291968 in words is "four billion, eight hundred twenty-five million, two hundred ninety-one thousand, nine hundred sixty-eight".