6826020960 has 192 divisors, whose sum is σ = 24476981760. Its totient is φ = 1582817280.

The previous prime is 6826020941. The next prime is 6826020973. The reversal of 6826020960 is 690206286.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93336 + ... + 149544.

It is an arithmetic number, because the mean of its divisors is an integer number (127484280).

Almost surely, 2^6826020960 is an apocalyptic number.

6826020960 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 6826020960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12238490880).

6826020960 is an abundant number, since it is smaller than the sum of its proper divisors (17650960800).

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

6826020960 is a wasteful number, since it uses less digits than its factorization.

6826020960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56261 (or 56253 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 6826020960 is about 82619.7371092404. The cubic root of 6826020960 is about 1896.9499503599.

The spelling of 6826020960 in words is "six billion, eight hundred twenty-six million, twenty thousand, nine hundred sixty".