6925121310240 has 1728 divisors, whose sum is σ = 30757095532800. Its totient is φ = 1384327397376.

The previous prime is 6925121310203. The next prime is 6925121310253. The reversal of 6925121310240 is 420131215296.

6925121310240 is a `hidden beast` number, since 6 + 9 + 2 + 512 + 131 + 0 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6925121310195 and 6925121310204.

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 287 ways as a sum of consecutive naturals, for example, 2938107142 + ... + 2938109498.

It is an arithmetic number, because the mean of its divisors is an integer number (17799245100).

Almost surely, 2^{6925121310240} is an apocalyptic number.

6925121310240 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 6925121310240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15378547766400).

6925121310240 is an abundant number, since it is smaller than the sum of its proper divisors (23831974222560).

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

6925121310240 is a wasteful number, since it uses less digits than its factorization.

6925121310240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2479 (or 2445 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 6925121310240 in words is "six trillion, nine hundred twenty-five billion, one hundred twenty-one million, three hundred ten thousand, two hundred forty".