6983799865344 has 765 divisors, whose sum is σ = 22158243425241. Its totient is φ = 2191951134720.

The previous prime is 6983799865333. The next prime is 6983799865387. The reversal of 6983799865344 is 4435689973896.

The square root of 6983799865344 is 2642688.

It is a perfect power (a square), and thus also a powerful number.

6983799865344 is a `hidden beast` number, since 6 + 9 + 8 + 3 + 79 + 9 + 8 + 6 + 534 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6249200025600 + 734599839744 = 2499840^2 + 857088^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

Its product of digits (8465264640) is a multiple of the sum of its prime factors (180).

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 44 ways as a sum of consecutive naturals, for example, 188751347694 + ... + 188751347730.

Almost surely, 2^{6983799865344} is an apocalyptic number.

6983799865344 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6983799865344 is the 2642688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6983799865344

6983799865344 is an abundant number, since it is smaller than the sum of its proper divisors (15174443559897).

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

6983799865344 is an frugal number, since it uses more digits than its factorization.

6983799865344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 73 counting only the distinct ones).

The product of its digits is 8465264640, while the sum is 81.

Multiplying 6983799865344 by its sum of digits (81), we get a square (565687789092864 = 23784192²).

6983799865344 divided by its sum of digits (81) gives a square (86219751424 = 293632²).

The spelling of 6983799865344 in words is "six trillion, nine hundred eighty-three billion, seven hundred ninety-nine million, eight hundred sixty-five thousand, three hundred forty-four".