6662358743040 has 4608 divisors, whose sum is σ = 34257105792000. Its totient is φ = 1203948748800.

The previous prime is 6662358743011. The next prime is 6662358743063. The reversal of 6662358743040 is 403478532666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 36808611750 + ... + 36808611930.

It is an arithmetic number, because the mean of its divisors is an integer number (7434267750).

Almost surely, 2^{6662358743040} is an apocalyptic number.

6662358743040 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 6662358743040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17128552896000).

6662358743040 is an abundant number, since it is smaller than the sum of its proper divisors (27594747048960).

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

6662358743040 is a wasteful number, since it uses less digits than its factorization.

6662358743040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 6662358743040 in words is "six trillion, six hundred sixty-two billion, three hundred fifty-eight million, seven hundred forty-three thousand, forty".