6695120880 has 720 divisors, whose sum is σ = 28877303520. Its totient is φ = 1416683520.

The previous prime is 6695120851. The next prime is 6695120891. The reversal of 6695120880 is 880215966.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 109756050 + ... + 109756110.

It is an arithmetic number, because the mean of its divisors is an integer number (40107366).

Almost surely, 2^6695120880 is an apocalyptic number.

6695120880 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 6695120880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14438651760).

6695120880 is an abundant number, since it is smaller than the sum of its proper divisors (22182182640).

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

6695120880 is a wasteful number, since it uses less digits than its factorization.

6695120880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 6695120880 is about 81823.7183217678. The cubic root of 6695120880 is about 1884.7459012488.

The spelling of 6695120880 in words is "six billion, six hundred ninety-five million, one hundred twenty thousand, eight hundred eighty".