6797395920 has 320 divisors, whose sum is σ = 25772636160. Its totient is φ = 1447372800.

The previous prime is 6797395903. The next prime is 6797395921. The reversal of 6797395920 is 295937976.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6797395921) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1945375 + ... + 1948865.

It is an arithmetic number, because the mean of its divisors is an integer number (80539488).

Almost surely, 2^6797395920 is an apocalyptic number.

6797395920 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 6797395920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12886318080).

6797395920 is an abundant number, since it is smaller than the sum of its proper divisors (18975240240).

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

6797395920 is a wasteful number, since it uses less digits than its factorization.

6797395920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3594 (or 3588 counting only the distinct ones).

The product of its (nonzero) digits is 6429780, while the sum is 57.

The square root of 6797395920 is about 82446.3214461385. The cubic root of 6797395920 is about 1894.2946040559.

The spelling of 6797395920 in words is "six billion, seven hundred ninety-seven million, three hundred ninety-five thousand, nine hundred twenty".