6797643120 has 480 divisors, whose sum is σ = 25523866368. Its totient is φ = 1675137024.

The previous prime is 6797643119. The next prime is 6797643143. The reversal of 6797643120 is 213467976.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22142007 + ... + 22142313.

Almost surely, 2^6797643120 is an apocalyptic number.

6797643120 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 6797643120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12761933184).

6797643120 is an abundant number, since it is smaller than the sum of its proper divisors (18726223248).

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

6797643120 is a wasteful number, since it uses less digits than its factorization.

6797643120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 6797643120 is about 82447.8205897524. The cubic root of 6797643120 is about 1894.3175669648.

The spelling of 6797643120 in words is "six billion, seven hundred ninety-seven million, six hundred forty-three thousand, one hundred twenty".