4613662000 has 80 divisors (see below), whose sum is σ = 11640987072. Its totient is φ = 1765209600.

The previous prime is 4613661989. The next prime is 4613662019. The reversal of 4613662000 is 2663164.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 4613662000.

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 15 ways as a sum of consecutive naturals, for example, 4149 + ... + 96148.

Almost surely, 2^4613662000 is an apocalyptic number.

4613662000 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 4613662000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5820493536).

4613662000 is an abundant number, since it is smaller than the sum of its proper divisors (7027325072).

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

4613662000 is a wasteful number, since it uses less digits than its factorization.

4613662000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100343 (or 100327 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 4613662000 is about 67923.9427595307. The cubic root of 4613662000 is about 1664.7483439811.

The spelling of 4613662000 in words is "four billion, six hundred thirteen million, six hundred sixty-two thousand".