6806617920 has 560 divisors, whose sum is σ = 25704442368. Its totient is φ = 1706987520.

The previous prime is 6806617919. The next prime is 6806617921. The reversal of 6806617920 is 297166086.

6806617920 is a `hidden beast` number, since 6 + 8 + 0 + 6 + 617 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (6806617919) and next prime (6806617921).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6806617921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 34551262 + ... + 34551458.

Almost surely, 2^6806617920 is an apocalyptic number.

6806617920 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 6806617920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12852221184).

6806617920 is an abundant number, since it is smaller than the sum of its proper divisors (18897824448).

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

6806617920 is a wasteful number, since it uses less digits than its factorization.

6806617920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 6806617920 is about 82502.2297880488. The cubic root of 6806617920 is about 1895.1508775891.

The spelling of 6806617920 in words is "six billion, eight hundred six million, six hundred seventeen thousand, nine hundred twenty".