6693200640 has 576 divisors, whose sum is σ = 27589094400. Its totient is φ = 1504935936.

The previous prime is 6693200627. The next prime is 6693200651. The reversal of 6693200640 is 460023966.

6693200640 is a `hidden beast` number, since 6 + 6 + 9 + 3 + 2 + 0 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 6693200595 and 6693200604.

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 63 ways as a sum of consecutive naturals, for example, 17659971 + ... + 17660349.

Almost surely, 2^6693200640 is an apocalyptic number.

6693200640 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 6693200640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13794547200).

6693200640 is an abundant number, since it is smaller than the sum of its proper divisors (20895893760).

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

6693200640 is a wasteful number, since it uses less digits than its factorization.

6693200640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 6693200640 is about 81811.9834743053. The cubic root of 6693200640 is about 1884.5656948669.

The spelling of 6693200640 in words is "six billion, six hundred ninety-three million, two hundred thousand, six hundred forty".