6605953920 has 256 divisors, whose sum is σ = 23840827200. Its totient is φ = 1728110592.

The previous prime is 6605953919. The next prime is 6605953927. The reversal of 6605953920 is 293595066.

6605953920 is a `hidden beast` number, since 6 + 6 + 0 + 595 + 39 + 20 = 666.

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 (6605953927) 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 31 ways as a sum of consecutive naturals, for example, 912234 + ... + 919446.

Almost surely, 2^6605953920 is an apocalyptic number.

6605953920 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 6605953920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11920413600).

6605953920 is an abundant number, since it is smaller than the sum of its proper divisors (17234873280).

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

6605953920 is a wasteful number, since it uses less digits than its factorization.

6605953920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7294 (or 7276 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The square root of 6605953920 is about 81277.0196303974. The cubic root of 6605953920 is about 1876.3413378047.

The spelling of 6605953920 in words is "six billion, six hundred five million, nine hundred fifty-three thousand, nine hundred twenty".