6820907147712 has 336 divisors, whose sum is σ = 23331354912000. Its totient is φ = 1948386037248.

The previous prime is 6820907147707. The next prime is 6820907147713. The reversal of 6820907147712 is 2177417090286.

6820907147712 is a `hidden beast` number, since 6 + 8 + 2 + 0 + 90 + 71 + 477 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6820907147713) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 611241589 + ... + 611252747.

Almost surely, 2^{6820907147712} 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 6820907147712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11665677456000).

6820907147712 is an abundant number, since it is smaller than the sum of its proper divisors (16510447764288).

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

6820907147712 is a wasteful number, since it uses less digits than its factorization.

6820907147712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18413 (or 18390 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 6820907147712 in words is "six trillion, eight hundred twenty billion, nine hundred seven million, one hundred forty-seven thousand, seven hundred twelve".