6607272000 has 448 divisors, whose sum is σ = 25349216256. Its totient is φ = 1485158400.

The previous prime is 6607271981. The next prime is 6607272019. The reversal of 6607272000 is 2727066.

It is an interprime number because it is at equal distance from previous prime (6607271981) and next prime (6607272019).

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11255707 + ... + 11256293.

It is an arithmetic number, because the mean of its divisors is an integer number (56583072).

Almost surely, 2^6607272000 is an apocalyptic number.

6607272000 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 6607272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12674608128).

6607272000 is an abundant number, since it is smaller than the sum of its proper divisors (18741944256).

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

6607272000 is a wasteful number, since it uses less digits than its factorization.

6607272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 6607272000 is about 81285.1277910049. The cubic root of 6607272000 is about 1876.4661244012.

Adding to 6607272000 its reverse (2727066), we get a palindrome (6609999066).

The spelling of 6607272000 in words is "six billion, six hundred seven million, two hundred seventy-two thousand".