6617298240 has 336 divisors, whose sum is σ = 26977921152. Its totient is φ = 1512400896.

The previous prime is 6617298073. The next prime is 6617298241. The reversal of 6617298240 is 428927166.

It is a happy number.

6617298240 is a `hidden beast` number, since 6 + 617 + 2 + 9 + 8 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6617298241) 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, 538242 + ... + 550398.

It is an arithmetic number, because the mean of its divisors is an integer number (80291432).

Almost surely, 2^6617298240 is an apocalyptic number.

6617298240 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 6617298240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13488960576).

6617298240 is an abundant number, since it is smaller than the sum of its proper divisors (20360622912).

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

6617298240 is a wasteful number, since it uses less digits than its factorization.

6617298240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12196 (or 12174 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 6617298240 is about 81346.7776866423. Note that the first 3 decimals coincide. The cubic root of 6617298240 is about 1877.4147958707.

The spelling of 6617298240 in words is "six billion, six hundred seventeen million, two hundred ninety-eight thousand, two hundred forty".