4634630000 has 400 divisors, whose sum is σ = 15098366976. Its totient is φ = 1330560000.

The previous prime is 4634629991. The next prime is 4634630053. The reversal of 4634630000 is 364364.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10009769 + ... + 10010231.

Almost surely, 2^4634630000 is an apocalyptic number.

4634630000 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 4634630000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7549183488).

4634630000 is an abundant number, since it is smaller than the sum of its proper divisors (10463736976).

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

4634630000 is a wasteful number, since it uses less digits than its factorization.

4634630000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The square root of 4634630000 is about 68078.1168952256. The cubic root of 4634630000 is about 1667.2664952086.

Adding to 4634630000 its reverse (364364), we get a palindrome (4634994364).

It can be divided in two parts, 463 and 4630000, that multiplied together give a square (2143690000 = 46300²).

The spelling of 4634630000 in words is "four billion, six hundred thirty-four million, six hundred thirty thousand".