6973784064 has 384 divisors, whose sum is σ = 23186807280. Its totient is φ = 2000683008.

The previous prime is 6973784053. The next prime is 6973784093. The reversal of 6973784064 is 4604873796.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6973784064.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 65175499 + ... + 65175605.

Almost surely, 2^6973784064 is an apocalyptic number.

6973784064 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 6973784064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11593403640).

6973784064 is an abundant number, since it is smaller than the sum of its proper divisors (16213023216).

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

6973784064 is a wasteful number, since it uses less digits than its factorization.

6973784064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The square root of 6973784064 is about 83509.1855067453. The cubic root of 6973784064 is about 1910.5401343296.

The spelling of 6973784064 in words is "six billion, nine hundred seventy-three million, seven hundred eighty-four thousand, sixty-four".