6983599783680 has 1296 divisors, whose sum is σ = 27615808531584. Its totient is φ = 1681228431360.

The previous prime is 6983599783651. The next prime is 6983599783691. The reversal of 6983599783680 is 863879953896.

6983599783680 is a `hidden beast` number, since 6 + 98 + 359 + 9 + 78 + 36 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a self number, because there is not a number n which added to its sum of digits gives 6983599783680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5131226200 + ... + 5131227560.

Almost surely, 2^{6983599783680} is an apocalyptic number.

6983599783680 is a gapful number since it is divisible by the number (60) 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 6983599783680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13807904265792).

6983599783680 is an abundant number, since it is smaller than the sum of its proper divisors (20632208747904).

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

6983599783680 is an equidigital number, since it uses as much as digits as its factorization.

6983599783680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 4232632320, while the sum is 81.

The spelling of 6983599783680 in words is "six trillion, nine hundred eighty-three billion, five hundred ninety-nine million, seven hundred eighty-three thousand, six hundred eighty".