6825961527840 has 384 divisors, whose sum is σ = 29404143659520. Its totient is φ = 1440202788864.

The previous prime is 6825961527829. The next prime is 6825961527857. The reversal of 6825961527840 is 487251695286.

6825961527840 is a `hidden beast` number, since 6 + 8 + 2 + 5 + 9 + 61 + 527 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8288659 + ... + 9074898.

It is an arithmetic number, because the mean of its divisors is an integer number (76573290780).

Almost surely, 2^{6825961527840} is an apocalyptic number.

6825961527840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6825961527840 is an abundant number, since it is smaller than the sum of its proper divisors (22578182131680).

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

6825961527840 is a wasteful number, since it uses less digits than its factorization.

6825961527840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17363601 (or 17363587 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 6825961527840 in words is "six trillion, eight hundred twenty-five billion, nine hundred sixty-one million, five hundred twenty-seven thousand, eight hundred forty".