6925205144928 has 384 divisors, whose sum is σ = 22042953031680. Its totient is φ = 1859621068800.

The previous prime is 6925205144843. The next prime is 6925205144929. The reversal of 6925205144928 is 8294415025296.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6925205144929) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1825783800 + ... + 1825787592.

It is an arithmetic number, because the mean of its divisors is an integer number (57403523520).

Almost surely, 2^{6925205144928} 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 6925205144928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11021476515840).

6925205144928 is an abundant number, since it is smaller than the sum of its proper divisors (15117747886752).

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

6925205144928 is a wasteful number, since it uses less digits than its factorization.

6925205144928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4930 (or 4922 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 57.

The spelling of 6925205144928 in words is "six trillion, nine hundred twenty-five billion, two hundred five million, one hundred forty-four thousand, nine hundred twenty-eight".