6995345664 has 144 divisors (see below), whose sum is σ = 19330516800. Its totient is φ = 2243125248.

The previous prime is 6995345663. The next prime is 6995345677. The reversal of 6995345664 is 4665435996.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

Its product of digits (20995200) is a multiple of the sum of its prime factors (1200).

It is not an unprimeable number, because it can be changed into a prime (6995345663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9866142 + ... + 9866850.

It is an arithmetic number, because the mean of its divisors is an integer number (134239700).

Almost surely, 2^6995345664 is an apocalyptic number.

6995345664 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 6995345664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9665258400).

6995345664 is an abundant number, since it is smaller than the sum of its proper divisors (12335171136).

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

6995345664 is a wasteful number, since it uses less digits than its factorization.

6995345664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1186 counting only the distinct ones).

The product of its digits is 20995200, while the sum is 57.

The square root of 6995345664 is about 83638.1830505661. The cubic root of 6995345664 is about 1912.5071161767.

The spelling of 6995345664 in words is "six billion, nine hundred ninety-five million, three hundred forty-five thousand, six hundred sixty-four".