6825270978432 has 640 divisors, whose sum is σ = 21149251200000. Its totient is φ = 2183513739264.

The previous prime is 6825270978419. The next prime is 6825270978433. The reversal of 6825270978432 is 2348790725286.

6825270978432 is a `hidden beast` number, since 6 + 8 + 2 + 527 + 0 + 9 + 78 + 4 + 32 = 666.

It is a super-2 number, since 2×6825270978432² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6825270978432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6825270978433) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11394442069 + ... + 11394442667.

It is an arithmetic number, because the mean of its divisors is an integer number (33045705000).

Almost surely, 2^{6825270978432} 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 6825270978432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10574625600000).

6825270978432 is an abundant number, since it is smaller than the sum of its proper divisors (14323980221568).

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

6825270978432 is a wasteful number, since it uses less digits than its factorization.

6825270978432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 6825270978432 in words is "six trillion, eight hundred twenty-five billion, two hundred seventy million, nine hundred seventy-eight thousand, four hundred thirty-two".