7862820827472 has 240 divisors, whose sum is σ = 23769002384400. Its totient is φ = 2412054650880.

The previous prime is 7862820827443. The next prime is 7862820827503. The reversal of 7862820827472 is 2747280282687.

7862820827472 is a `hidden beast` number, since 7 + 8 + 6 + 2 + 82 + 0 + 82 + 7 + 472 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3240561624336 + 4622259203136 = 1800156^2 + 2149944^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2450238604 + ... + 2450241812.

It is an arithmetic number, because the mean of its divisors is an integer number (99037509935).

Almost surely, 2^{7862820827472} is an apocalyptic number.

7862820827472 is a gapful number since it is divisible by the number (72) 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 7862820827472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11884501192200).

7862820827472 is an abundant number, since it is smaller than the sum of its proper divisors (15906181556928).

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

7862820827472 is a wasteful number, since it uses less digits than its factorization.

7862820827472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6766 (or 6757 counting only the distinct ones).

The product of its (nonzero) digits is 67436544, while the sum is 63.

The spelling of 7862820827472 in words is "seven trillion, eight hundred sixty-two billion, eight hundred twenty million, eight hundred twenty-seven thousand, four hundred seventy-two".