6629205000 has 160 divisors (see below), whose sum is σ = 22592892960. Its totient is φ = 1607040000.

The previous prime is 6629204941. The next prime is 6629205017. The reversal of 6629205000 is 5029266.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 144912 + ... + 185088.

It is an arithmetic number, because the mean of its divisors is an integer number (141205581).

Almost surely, 2^6629205000 is an apocalyptic number.

6629205000 is a gapful number since it is divisible by the number (60) 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 6629205000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11296446480).

6629205000 is an abundant number, since it is smaller than the sum of its proper divisors (15963687960).

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

6629205000 is a wasteful number, since it uses less digits than its factorization.

6629205000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40217 (or 40198 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 6629205000 is about 81419.9299926007. The cubic root of 6629205000 is about 1878.5401561282.

The spelling of 6629205000 in words is "six billion, six hundred twenty-nine million, two hundred five thousand".