4630890000 has 200 divisors, whose sum is σ = 16309304352. Its totient is φ = 1122560000.

The previous prime is 4630889971. The next prime is 4630890023. The reversal of 4630890000 is 980364.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 4630890000.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 322984 + ... + 337016.

Almost surely, 2^4630890000 is an apocalyptic number.

4630890000 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 4630890000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8154652176).

4630890000 is an abundant number, since it is smaller than the sum of its proper divisors (11678414352).

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

4630890000 is a wasteful number, since it uses less digits than its factorization.

4630890000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14075 (or 14054 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 4630890000 is about 68050.6429065883. The cubic root of 4630890000 is about 1666.8178973883.

The spelling of 4630890000 in words is "four billion, six hundred thirty million, eight hundred ninety thousand".