4825073664 has 192 divisors, whose sum is σ = 14506128000. Its totient is φ = 1584414720.

The previous prime is 4825073663. The next prime is 4825073681. The reversal of 4825073664 is 4663705284.

4825073664 is a `hidden beast` number, since 4 + 82 + 507 + 3 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (4825073663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3925402 + ... + 3926630.

It is an arithmetic number, because the mean of its divisors is an integer number (75552750).

Almost surely, 2^4825073664 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 4825073664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7253064000).

4825073664 is an abundant number, since it is smaller than the sum of its proper divisors (9681054336).

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

4825073664 is a wasteful number, since it uses less digits than its factorization.

4825073664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 4825073664 is about 69462.7501902998. The cubic root of 4825073664 is about 1689.7974459339.

The spelling of 4825073664 in words is "four billion, eight hundred twenty-five million, seventy-three thousand, six hundred sixty-four".