6607827072 has 768 divisors, whose sum is σ = 25662873600. Its totient is φ = 1642291200.

The previous prime is 6607827059. The next prime is 6607827089. The reversal of 6607827072 is 2707287066.

It is a happy number.

It is a super-2 number, since 2×6607827072² = 87326757226912186368, which contains 22 as substring.

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, 74245204 + ... + 74245292.

It is an arithmetic number, because the mean of its divisors is an integer number (33415200).

Almost surely, 2^6607827072 is an apocalyptic number.

6607827072 is a gapful number since it is divisible by the number (62) 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 6607827072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12831436800).

6607827072 is an abundant number, since it is smaller than the sum of its proper divisors (19055046528).

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

6607827072 is a wasteful number, since it uses less digits than its factorization.

6607827072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 6607827072 is about 81288.5420708232. The cubic root of 6607827072 is about 1876.5186697704.

The spelling of 6607827072 in words is "six billion, six hundred seven million, eight hundred twenty-seven thousand, seventy-two".