6722109516960 has 144 divisors (see below), whose sum is σ = 24288563446056. Its totient is φ = 1687117676544.

The previous prime is 6722109516923. The next prime is 6722109516971. The reversal of 6722109516960 is 696159012276.

6722109516960 is a `hidden beast` number, since 6 + 7 + 22 + 10 + 9 + 516 + 96 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4085136253584 + 2636973263376 = 2021172^2 + 1623876^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 6722109516897 and 6722109516906.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137273509 + ... + 137322468.

Almost surely, 2^{6722109516960} is an apocalyptic number.

6722109516960 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6722109516960 is an abundant number, since it is smaller than the sum of its proper divisors (17566453929096).

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

6722109516960 is a wasteful number, since it uses less digits than its factorization.

6722109516960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274596015 (or 274596004 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 6722109516960 in words is "six trillion, seven hundred twenty-two billion, one hundred nine million, five hundred sixteen thousand, nine hundred sixty".