4825460640 has 768 divisors, whose sum is σ = 20825247744. Its totient is φ = 914411520.

The previous prime is 4825460621. The next prime is 4825460663. The reversal of 4825460640 is 460645284.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 58138039 + ... + 58138121.

It is an arithmetic number, because the mean of its divisors is an integer number (27116208).

Almost surely, 2^4825460640 is an apocalyptic number.

4825460640 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 4825460640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10412623872).

4825460640 is an abundant number, since it is smaller than the sum of its proper divisors (15999787104).

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

4825460640 is a wasteful number, since it uses less digits than its factorization.

4825460640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The square root of 4825460640 is about 69465.5356273886. The cubic root of 4825460640 is about 1689.8426192391.

The spelling of 4825460640 in words is "four billion, eight hundred twenty-five million, four hundred sixty thousand, six hundred forty".