6966342144 has 400 divisors, whose sum is σ = 22646347416. Its totient is φ = 2123366400.

The previous prime is 6966342137. The next prime is 6966342167. The reversal of 6966342144 is 4412436696.

6966342144 is a `hidden beast` number, since 6 + 9 + 6 + 634 + 2 + 1 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5935161600 + 1031180544 = 77040^2 + 32112^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 6966342144.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28905864 + ... + 28906104.

Almost surely, 2^6966342144 is an apocalyptic number.

6966342144 is a gapful number since it is divisible by the number (64) 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 6966342144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11323173708).

6966342144 is an abundant number, since it is smaller than the sum of its proper divisors (15680005272).

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

6966342144 is a wasteful number, since it uses less digits than its factorization.

6966342144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 304 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 6966342144 is about 83464.6161196468. The cubic root of 6966342144 is about 1909.8602955117.

The spelling of 6966342144 in words is "six billion, nine hundred sixty-six million, three hundred forty-two thousand, one hundred forty-four".