6820800672 has 192 divisors, whose sum is σ = 21059958528. Its totient is φ = 1892352000.

The previous prime is 6820800661. The next prime is 6820800683. The reversal of 6820800672 is 2760080286.

It is an interprime number because it is at equal distance from previous prime (6820800661) and next prime (6820800683).

It is a self number, because there is not a number n which added to its sum of digits gives 6820800672.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7741672 + ... + 7742552.

It is an arithmetic number, because the mean of its divisors is an integer number (109687284).

Almost surely, 2^6820800672 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 6820800672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10529979264).

6820800672 is an abundant number, since it is smaller than the sum of its proper divisors (14239157856).

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

6820800672 is a wasteful number, since it uses less digits than its factorization.

6820800672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 6820800672 is about 82588.1388093956. The cubic root of 6820800672 is about 1896.4662546813.

The spelling of 6820800672 in words is "six billion, eight hundred twenty million, eight hundred thousand, six hundred seventy-two".