6678904320 has 720 divisors, whose sum is σ = 26996544432. Its totient is φ = 1512898560.

The previous prime is 6678904319. The next prime is 6678904321. The reversal of 6678904320 is 234098766.

6678904320 is a `hidden beast` number, since 66 + 78 + 90 + 432 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6678904319) and next prime (6678904321).

It is a tau number, because it is divible by the number of its divisors (720).

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 (6678904321) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 91491804 + ... + 91491876.

Almost surely, 2^6678904320 is an apocalyptic number.

6678904320 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 6678904320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13498272216).

6678904320 is an abundant number, since it is smaller than the sum of its proper divisors (20317640112).

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

6678904320 is a wasteful number, since it uses less digits than its factorization.

6678904320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 6678904320 is about 81724.5637492180. The cubic root of 6678904320 is about 1883.2229611008. Note that the first 3 decimals are identical.

The spelling of 6678904320 in words is "six billion, six hundred seventy-eight million, nine hundred four thousand, three hundred twenty".