6995312064 has 224 divisors, whose sum is σ = 22318309440. Its totient is φ = 2135752704.

The previous prime is 6995312057. The next prime is 6995312083. The reversal of 6995312064 is 4602135996.

6995312064 is a `hidden beast` number, since 6 + 99 + 531 + 20 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3076432 + ... + 3078704.

It is an arithmetic number, because the mean of its divisors is an integer number (99635310).

Almost surely, 2^6995312064 is an apocalyptic number.

6995312064 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 6995312064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11159154720).

6995312064 is an abundant number, since it is smaller than the sum of its proper divisors (15322997376).

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

6995312064 is a wasteful number, since it uses less digits than its factorization.

6995312064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2444 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 6995312064 is about 83637.9821851293. The cubic root of 6995312064 is about 1912.5040541244.

The spelling of 6995312064 in words is "six billion, nine hundred ninety-five million, three hundred twelve thousand, sixty-four".