6607984320 has 448 divisors, whose sum is σ = 28213263360. Its totient is φ = 1421328384.

The previous prime is 6607984291. The next prime is 6607984321. The reversal of 6607984320 is 234897066.

6607984320 is a `hidden beast` number, since 6 + 607 + 9 + 8 + 4 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is not an unprimeable number, because it can be changed into a prime (6607984321) 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 63 ways as a sum of consecutive naturals, for example, 1024947 + ... + 1031373.

Almost surely, 2^6607984320 is an apocalyptic number.

6607984320 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 6607984320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14106631680).

6607984320 is an abundant number, since it is smaller than the sum of its proper divisors (21605279040).

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

6607984320 is a wasteful number, since it uses less digits than its factorization.

6607984320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6477 (or 6461 counting only the distinct ones).

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

The square root of 6607984320 is about 81289.5092862542. The cubic root of 6607984320 is about 1876.5335549696.

The spelling of 6607984320 in words is "six billion, six hundred seven million, nine hundred eighty-four thousand, three hundred twenty".