6626607120 has 720 divisors, whose sum is σ = 27415245312. Its totient is φ = 1428295680.

The previous prime is 6626607101. The next prime is 6626607161. The reversal of 6626607120 is 217066266.

6626607120 is a `hidden beast` number, since 6 + 6 + 26 + 607 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

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 143 ways as a sum of consecutive naturals, for example, 79838599 + ... + 79838681.

Almost surely, 2^6626607120 is an apocalyptic number.

6626607120 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 6626607120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13707622656).

6626607120 is an abundant number, since it is smaller than the sum of its proper divisors (20788638192).

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

6626607120 is a wasteful number, since it uses less digits than its factorization.

6626607120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 6626607120 is about 81403.9748415272. The cubic root of 6626607120 is about 1878.2947340636.

The spelling of 6626607120 in words is "six billion, six hundred twenty-six million, six hundred seven thousand, one hundred twenty".