6662628000 has 576 divisors, whose sum is σ = 28233878400. Its totient is φ = 1521676800.

The previous prime is 6662627969. The next prime is 6662628013. The reversal of 6662628000 is 8262666.

It is a super-2 number, since 2×6662628000² = 88781223732768000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5291371 + ... + 5292629.

It is an arithmetic number, because the mean of its divisors is an integer number (49017150).

Almost surely, 2^6662628000 is an apocalyptic number.

6662628000 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 6662628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14116939200).

6662628000 is an abundant number, since it is smaller than the sum of its proper divisors (21571250400).

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

6662628000 is a wasteful number, since it uses less digits than its factorization.

6662628000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1307 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6662628000 is about 81624.9226645882. The cubic root of 6662628000 is about 1881.6919279066.

The spelling of 6662628000 in words is "six billion, six hundred sixty-two million, six hundred twenty-eight thousand".