6981525948384 has 288 divisors, whose sum is σ = 22076361216000. Its totient is φ = 2078326563840.

The previous prime is 6981525948359. The next prime is 6981525948479. The reversal of 6981525948384 is 4838495251896.

6981525948384 is a `hidden beast` number, since 6 + 9 + 8 + 1 + 525 + 94 + 8 + 3 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×6981525948384² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 800721177 + ... + 800729895.

It is an arithmetic number, because the mean of its divisors is an integer number (76654032000).

Almost surely, 2^{6981525948384} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6981525948384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11038180608000).

6981525948384 is an abundant number, since it is smaller than the sum of its proper divisors (15094835267616).

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

6981525948384 is a wasteful number, since it uses less digits than its factorization.

6981525948384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15678 (or 15667 counting only the distinct ones).

The product of its digits is 597196800, while the sum is 72.

The spelling of 6981525948384 in words is "six trillion, nine hundred eighty-one billion, five hundred twenty-five million, nine hundred forty-eight thousand, three hundred eighty-four".