6598006272 has 960 divisors, whose sum is σ = 25738352640. Its totient is φ = 1592524800.

The previous prime is 6598006249. The next prime is 6598006277. The reversal of 6598006272 is 2726008956.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6598006277) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 212838897 + ... + 212838927.

It is an arithmetic number, because the mean of its divisors is an integer number (26810784).

Almost surely, 2^6598006272 is an apocalyptic number.

6598006272 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 6598006272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12869176320).

6598006272 is an abundant number, since it is smaller than the sum of its proper divisors (19140346368).

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

6598006272 is a wasteful number, since it uses less digits than its factorization.

6598006272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 6598006272 is about 81228.1125719415. The cubic root of 6598006272 is about 1875.5885580604.

The spelling of 6598006272 in words is "six billion, five hundred ninety-eight million, six thousand, two hundred seventy-two".