4640252100 has 144 divisors (see below), whose sum is σ = 14682560256. Its totient is φ = 1122128000.

The previous prime is 4640252087. The next prime is 4640252107. The reversal of 4640252100 is 12520464.

It is not an unprimeable number, because it can be changed into a prime (4640252107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1539595 + ... + 1542605.

It is an arithmetic number, because the mean of its divisors is an integer number (101962224).

Almost surely, 2^4640252100 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 4640252100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7341280128).

4640252100 is an abundant number, since it is smaller than the sum of its proper divisors (10042308156).

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

4640252100 is a wasteful number, since it uses less digits than its factorization.

4640252100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3506 (or 3499 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 4640252100 is about 68119.3959162880. The cubic root of 4640252100 is about 1667.9403894413.

Adding to 4640252100 its reverse (12520464), we get a palindrome (4652772564).

The spelling of 4640252100 in words is "four billion, six hundred forty million, two hundred fifty-two thousand, one hundred".