6896776320 has 1024 divisors, whose sum is σ = 30363033600. Its totient is φ = 1445216256.

The previous prime is 6896776273. The next prime is 6896776361. The reversal of 6896776320 is 236776986.

It is a super-2 number, since 2×6896776320² = 95131047216225484800, which contains 22 as substring.

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

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 127 ways as a sum of consecutive naturals, for example, 102936927 + ... + 102936993.

It is an arithmetic number, because the mean of its divisors is an integer number (29651400).

Almost surely, 2^6896776320 is an apocalyptic number.

6896776320 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 6896776320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15181516800).

6896776320 is an abundant number, since it is smaller than the sum of its proper divisors (23466257280).

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

6896776320 is a wasteful number, since it uses less digits than its factorization.

6896776320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The square root of 6896776320 is about 83046.8320888883. The cubic root of 6896776320 is about 1903.4817340446.

The spelling of 6896776320 in words is "six billion, eight hundred ninety-six million, seven hundred seventy-six thousand, three hundred twenty".