6005726640000 has 640 divisors, whose sum is σ = 22369567572000. Its totient is φ = 1585612800000.

The previous prime is 6005726639929. The next prime is 6005726640007. The reversal of 6005726640000 is 466275006.

6005726640000 is a `hidden beast` number, since 6 + 0 + 0 + 5 + 7 + 2 + 6 + 640 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6005726640007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 218146236 + ... + 218173764.

Almost surely, 2^{6005726640000} is an apocalyptic number.

6005726640000 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 6005726640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11184783786000).

6005726640000 is an abundant number, since it is smaller than the sum of its proper divisors (16363840932000).

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

6005726640000 is a wasteful number, since it uses less digits than its factorization.

6005726640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27673 (or 27640 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 6005726640000 in words is "six trillion, five billion, seven hundred twenty-six million, six hundred forty thousand".