6826348653696 has 1728 divisors, whose sum is σ = 25049410626240. Its totient is φ = 1777883627520.

The previous prime is 6826348653679. The next prime is 6826348653697. The reversal of 6826348653696 is 6963568436286.

6826348653696 is a `hidden beast` number, since 6 + 8 + 2 + 6 + 3 + 4 + 86 + 536 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6826348653697) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 23298118126 + ... + 23298118418.

It is an arithmetic number, because the mean of its divisors is an integer number (14496186705).

Almost surely, 2^{6826348653696} is an apocalyptic number.

6826348653696 is a gapful number since it is divisible by the number (66) 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 6826348653696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12524705313120).

6826348653696 is an abundant number, since it is smaller than the sum of its proper divisors (18223061972544).

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

6826348653696 is a wasteful number, since it uses less digits than its factorization.

6826348653696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 388 counting only the distinct ones).

The product of its digits is 1612431360, while the sum is 72.

The spelling of 6826348653696 in words is "six trillion, eight hundred twenty-six billion, three hundred forty-eight million, six hundred fifty-three thousand, six hundred ninety-six".