6609008640 has 576 divisors, whose sum is σ = 24459926400. Its totient is φ = 1518206976.

The previous prime is 6609008617. The next prime is 6609008641. The reversal of 6609008640 is 468009066.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6609008641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98641887 + ... + 98641953.

It is an arithmetic number, because the mean of its divisors is an integer number (42465150).

Almost surely, 2^6609008640 is an apocalyptic number.

6609008640 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 6609008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12229963200).

6609008640 is an abundant number, since it is smaller than the sum of its proper divisors (17850917760).

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

6609008640 is a wasteful number, since it uses less digits than its factorization.

6609008640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 6609008640 is about 81295.8094860984. The cubic root of 6609008640 is about 1876.6305119964.

The spelling of 6609008640 in words is "six billion, six hundred nine million, eight thousand, six hundred forty".