6797640960 has 288 divisors, whose sum is σ = 26316581760. Its totient is φ = 1647820800.

The previous prime is 6797640953. The next prime is 6797640989. The reversal of 6797640960 is 690467976.

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 junction number, because it is equal to n+sod(n) for n = 6797640897 and 6797640906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 371220 + ... + 389100.

It is an arithmetic number, because the mean of its divisors is an integer number (91377020).

Almost surely, 2^6797640960 is an apocalyptic number.

6797640960 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 6797640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13158290880).

6797640960 is an abundant number, since it is smaller than the sum of its proper divisors (19518940800).

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

6797640960 is a wasteful number, since it uses less digits than its factorization.

6797640960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17922 (or 17902 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The square root of 6797640960 is about 82447.8074905573. The cubic root of 6797640960 is about 1894.3173663204.

The spelling of 6797640960 in words is "six billion, seven hundred ninety-seven million, six hundred forty thousand, nine hundred sixty".