4634616000 has 448 divisors, whose sum is σ = 17878348800. Its totient is φ = 1057459200.

The previous prime is 4634615963. The next prime is 4634616011. The reversal of 4634616000 is 6164364.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8231719 + ... + 8232281.

Almost surely, 2^4634616000 is an apocalyptic number.

4634616000 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 4634616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8939174400).

4634616000 is an abundant number, since it is smaller than the sum of its proper divisors (13243732800).

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

4634616000 is an equidigital number, since it uses as much as digits as its factorization.

4634616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 4634616000 is about 68078.0140720923. The cubic root of 4634616000 is about 1667.2648164156.

The spelling of 4634616000 in words is "four billion, six hundred thirty-four million, six hundred sixteen thousand".