6820541496000 has 784 divisors, whose sum is σ = 25440591577440. Its totient is φ = 1810514073600.

The previous prime is 6820541495909. The next prime is 6820541496007. The reversal of 6820541496000 is 6941450286.

6820541496000 is a `hidden beast` number, since 6 + 8 + 2 + 0 + 541 + 49 + 60 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6820541496007) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1335525447 + ... + 1335530553.

Almost surely, 2^{6820541496000} is an apocalyptic number.

6820541496000 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 6820541496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12720295788720).

6820541496000 is an abundant number, since it is smaller than the sum of its proper divisors (18620050081440).

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

6820541496000 is an equidigital number, since it uses as much as digits as its factorization.

6820541496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5381 (or 5346 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 6820541496000 in words is "six trillion, eight hundred twenty billion, five hundred forty-one million, four hundred ninety-six thousand".