6820710624 has 720 divisors, whose sum is σ = 26717212368. Its totient is φ = 1693052928.

The previous prime is 6820710601. The next prime is 6820710661. The reversal of 6820710624 is 4260170286.

6820710624 is a `hidden beast` number, since 6 + 8 + 20 + 7 + 1 + 0 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 401218264 + ... + 401218280.

Almost surely, 2^6820710624 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 6820710624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13358606184).

6820710624 is an abundant number, since it is smaller than the sum of its proper divisors (19896501744).

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

6820710624 is an equidigital number, since it uses as much as digits as its factorization.

6820710624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 6820710624 is about 82587.5936445663. The cubic root of 6820710624 is about 1896.4579089482.

The spelling of 6820710624 in words is "six billion, eight hundred twenty million, seven hundred ten thousand, six hundred twenty-four".