6617934840 has 256 divisors, whose sum is σ = 22892544000. Its totient is φ = 1513658880.

The previous prime is 6617934773. The next prime is 6617934857. The reversal of 6617934840 is 484397166.

It is a self number, because there is not a number n which added to its sum of digits gives 6617934840.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9204001 + ... + 9204719.

It is an arithmetic number, because the mean of its divisors is an integer number (89424000).

Almost surely, 2^6617934840 is an apocalyptic number.

6617934840 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 6617934840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11446272000).

6617934840 is an abundant number, since it is smaller than the sum of its proper divisors (16274609160).

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

6617934840 is a wasteful number, since it uses less digits than its factorization.

6617934840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 6617934840 is about 81350.6904703334. The cubic root of 6617934840 is about 1877.4749978792.

The spelling of 6617934840 in words is "six billion, six hundred seventeen million, nine hundred thirty-four thousand, eight hundred forty".