6992273664 has 216 divisors, whose sum is σ = 20610731232. Its totient is φ = 2279424000.

The previous prime is 6992273627. The next prime is 6992273699. The reversal of 6992273664 is 4663722996.

It is a self number, because there is not a number n which added to its sum of digits gives 6992273664.

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, 27857539 + ... + 27857789.

It is an arithmetic number, because the mean of its divisors is an integer number (95420052).

Almost surely, 2^6992273664 is an apocalyptic number.

6992273664 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 6992273664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10305365616).

6992273664 is an abundant number, since it is smaller than the sum of its proper divisors (13618457568).

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

6992273664 is a wasteful number, since it uses less digits than its factorization.

6992273664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 476 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 54.

The square root of 6992273664 is about 83619.8162160143. The cubic root of 6992273664 is about 1912.2271165700.

The spelling of 6992273664 in words is "six billion, nine hundred ninety-two million, two hundred seventy-three thousand, six hundred sixty-four".