4642624100 has 18 divisors (see below), whose sum is σ = 10074494514. Its totient is φ = 1857049600.

The previous prime is 4642624073. The next prime is 4642624109. The reversal of 4642624100 is 14262464.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 983825956 + 3658798144 = 31366^2 + 60488^2 .

It is not an unprimeable number, because it can be changed into a prime (4642624109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23213021 + ... + 23213220.

Almost surely, 2^4642624100 is an apocalyptic number.

It is an amenable number.

4642624100 is an abundant number, since it is smaller than the sum of its proper divisors (5431870414).

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

4642624100 is a wasteful number, since it uses less digits than its factorization.

4642624100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46426255 (or 46426248 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

The square root of 4642624100 is about 68136.8042984113. The cubic root of 4642624100 is about 1668.2245464637.

Adding to 4642624100 its reverse (14262464), we get a palindrome (4656886564).

The spelling of 4642624100 in words is "four billion, six hundred forty-two million, six hundred twenty-four thousand, one hundred".