6607975680 has 288 divisors, whose sum is σ = 23788235520. Its totient is φ = 1736663040.

The previous prime is 6607975657. The next prime is 6607975687. The reversal of 6607975680 is 865797066.

It is a happy number.

6607975680 is a `hidden beast` number, since 6 + 6 + 0 + 79 + 7 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6607975687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2452414 + ... + 2455106.

It is an arithmetic number, because the mean of its divisors is an integer number (82598040).

Almost surely, 2^6607975680 is an apocalyptic number.

6607975680 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 6607975680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11894117760).

6607975680 is an abundant number, since it is smaller than the sum of its proper divisors (17180259840).

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

6607975680 is a wasteful number, since it uses less digits than its factorization.

6607975680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2794 (or 2774 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The square root of 6607975680 is about 81289.4561428479. The cubic root of 6607975680 is about 1876.5327371076.

The spelling of 6607975680 in words is "six billion, six hundred seven million, nine hundred seventy-five thousand, six hundred eighty".