6992661312 has 560 divisors, whose sum is σ = 26036861312. Its totient is φ = 1813985280.

The previous prime is 6992661311. The next prime is 6992661317. The reversal of 6992661312 is 2131662996.

6992661312 is a `hidden beast` number, since 6 + 9 + 9 + 26 + 613 + 1 + 2 = 666.

It is a super-2 number, since 2×6992661312² = 97794624448683122688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6992661311) 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 79 ways as a sum of consecutive naturals, for example, 114633762 + ... + 114633822.

Almost surely, 2^6992661312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6992661312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13018430656).

6992661312 is an abundant number, since it is smaller than the sum of its proper divisors (19044200000).

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

6992661312 is an frugal number, since it uses more digits than its factorization.

6992661312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 86 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 6992661312 is about 83622.1341033581. The cubic root of 6992661312 is about 1912.2624535412.

The spelling of 6992661312 in words is "six billion, nine hundred ninety-two million, six hundred sixty-one thousand, three hundred twelve".