6781977216 has 96 divisors (see below), whose sum is σ = 22303850400. Its totient is φ = 1937705472.

The previous prime is 6781977203. The next prime is 6781977233. The reversal of 6781977216 is 6127791876.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×6781977216² = 91990429916686221312, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 412446 + ... + 428573.

It is an arithmetic number, because the mean of its divisors is an integer number (232331775).

Almost surely, 2^6781977216 is an apocalyptic number.

It is an amenable number.

6781977216 is an abundant number, since it is smaller than the sum of its proper divisors (15521873184).

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

6781977216 is a wasteful number, since it uses less digits than its factorization.

6781977216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841046 (or 841031 counting only the distinct ones).

The product of its digits is 1778112, while the sum is 54.

The square root of 6781977216 is about 82352.7608280378. The cubic root of 6781977216 is about 1892.8612277016.

The spelling of 6781977216 in words is "six billion, seven hundred eighty-one million, nine hundred seventy-seven thousand, two hundred sixteen".