6981319563264 has 384 divisors, whose sum is σ = 21169795046400. Its totient is φ = 2272263045120.

The previous prime is 6981319563227. The next prime is 6981319563287. The reversal of 6981319563264 is 4623659131896.

6981319563264 is a `hidden beast` number, since 6 + 9 + 8 + 1 + 3 + 1 + 9 + 563 + 2 + 64 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1198095519 + ... + 1198101345.

It is an arithmetic number, because the mean of its divisors is an integer number (55129674600).

Almost surely, 2^{6981319563264} is an apocalyptic number.

6981319563264 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 6981319563264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10584897523200).

6981319563264 is an abundant number, since it is smaller than the sum of its proper divisors (14188475483136).

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

6981319563264 is a wasteful number, since it uses less digits than its factorization.

6981319563264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6366 (or 6340 counting only the distinct ones).

The product of its digits is 50388480, while the sum is 63.

The spelling of 6981319563264 in words is "six trillion, nine hundred eighty-one billion, three hundred nineteen million, five hundred sixty-three thousand, two hundred sixty-four".