4725638000 has 40 divisors (see below), whose sum is σ = 11426597520. Its totient is φ = 1890254400.

The previous prime is 4725637979. The next prime is 4725638041. The reversal of 4725638000 is 8365274.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1179410 + ... + 1183409.

It is an arithmetic number, because the mean of its divisors is an integer number (285664938).

Almost surely, 2^4725638000 is an apocalyptic number.

4725638000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4725638000 is an abundant number, since it is smaller than the sum of its proper divisors (6700959520).

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

4725638000 is a wasteful number, since it uses less digits than its factorization.

4725638000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2362842 (or 2362826 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 4725638000 is about 68743.2760348239. The cubic root of 4725638000 is about 1678.1089360241.

The spelling of 4725638000 in words is "four billion, seven hundred twenty-five million, six hundred thirty-eight thousand".