4625082000 has 960 divisors, whose sum is σ = 20858093568. Its totient is φ = 927360000.

The previous prime is 4625081971. The next prime is 4625082001. The reversal of 4625082000 is 2805264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4625082001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 65141965 + ... + 65142035.

Almost surely, 2^4625082000 is an apocalyptic number.

4625082000 is a gapful number since it is divisible by the number (40) 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 4625082000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10429046784).

4625082000 is an abundant number, since it is smaller than the sum of its proper divisors (16233011568).

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

4625082000 is a wasteful number, since it uses less digits than its factorization.

4625082000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4625082000 is about 68007.9554169952. The cubic root of 4625082000 is about 1666.1207723303.

Adding to 4625082000 its reverse (2805264), we get a palindrome (4627887264).

The spelling of 4625082000 in words is "four billion, six hundred twenty-five million, eighty-two thousand".