6816970368 has 384 divisors, whose sum is σ = 22891639680. Its totient is φ = 2003595264.

The previous prime is 6816970367. The next prime is 6816970373. The reversal of 6816970368 is 8630796186.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6816970367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9299730 + ... + 9300462.

It is an arithmetic number, because the mean of its divisors is an integer number (59613645).

Almost surely, 2^6816970368 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 6816970368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11445819840).

6816970368 is an abundant number, since it is smaller than the sum of its proper divisors (16074669312).

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

6816970368 is a wasteful number, since it uses less digits than its factorization.

6816970368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 6816970368 is about 82564.9463634538. The cubic root of 6816970368 is about 1896.1111936070. Note that the first 4 decimals are identical.

The spelling of 6816970368 in words is "six billion, eight hundred sixteen million, nine hundred seventy thousand, three hundred sixty-eight".