6983919921152 has 576 divisors, whose sum is σ = 15936389763840. Its totient is φ = 3050471424000.

The previous prime is 6983919921127. The next prime is 6983919921157. The reversal of 6983919921152 is 2511299193896.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (6983919921157) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 98365069277 + ... + 98365069347.

It is an arithmetic number, because the mean of its divisors is an integer number (27667343340).

Almost surely, 2^{6983919921152} is an apocalyptic number.

6983919921152 is a gapful number since it is divisible by the number (62) 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 6983919921152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7968194881920).

6983919921152 is an abundant number, since it is smaller than the sum of its proper divisors (8952469842688).

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

6983919921152 is a wasteful number, since it uses less digits than its factorization.

6983919921152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 221 counting only the distinct ones).

The product of its digits is 18895680, while the sum is 65.

The spelling of 6983919921152 in words is "six trillion, nine hundred eighty-three billion, nine hundred nineteen million, nine hundred twenty-one thousand, one hundred fifty-two".