6645014691840 has 1536 divisors, whose sum is σ = 28632231014400. Its totient is φ = 1391229665280.

The previous prime is 6645014691779. The next prime is 6645014691919. The reversal of 6645014691840 is 481964105466.

6645014691840 is a `hidden beast` number, since 6 + 6 + 4 + 501 + 4 + 6 + 91 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6079610334 + ... + 6079611426.

It is an arithmetic number, because the mean of its divisors is an integer number (18640775400).

Almost surely, 2^{6645014691840} is an apocalyptic number.

6645014691840 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 6645014691840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14316115507200).

6645014691840 is an abundant number, since it is smaller than the sum of its proper divisors (21987216322560).

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

6645014691840 is a wasteful number, since it uses less digits than its factorization.

6645014691840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1191 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 6645014691840 in words is "six trillion, six hundred forty-five billion, fourteen million, six hundred ninety-one thousand, eight hundred forty".