6727333393920 has 320 divisors, whose sum is σ = 22973097216960. Its totient is φ = 1673483255808.

The previous prime is 6727333393919. The next prime is 6727333393927. The reversal of 6727333393920 is 293933337276.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6727333393927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14525286 + ... + 14981274.

It is an arithmetic number, because the mean of its divisors is an integer number (71790928803).

Almost surely, 2^{6727333393920} is an apocalyptic number.

6727333393920 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 6727333393920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11486548608480).

6727333393920 is an abundant number, since it is smaller than the sum of its proper divisors (16245763823040).

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

6727333393920 is a wasteful number, since it uses less digits than its factorization.

6727333393920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456145 (or 456129 counting only the distinct ones).

The product of its (nonzero) digits is 23147208, while the sum is 57.

The spelling of 6727333393920 in words is "six trillion, seven hundred twenty-seven billion, three hundred thirty-three million, three hundred ninety-three thousand, nine hundred twenty".