66839190330240 has 768 divisors, whose sum is σ = 245466149760000. Its totient is φ = 16726972760064.

The previous prime is 66839190330079. The next prime is 66839190330251. The reversal of 66839190330240 is 4203309193866.

66839190330240 is a `hidden beast` number, since 6 + 6 + 8 + 391 + 9 + 0 + 3 + 3 + 0 + 240 = 666.

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, 6718176786 + ... + 6718186734.

It is an arithmetic number, because the mean of its divisors is an integer number (319617382500).

Almost surely, 2^{66839190330240} is an apocalyptic number.

66839190330240 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 66839190330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122733074880000).

66839190330240 is an abundant number, since it is smaller than the sum of its proper divisors (178626959429760).

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

66839190330240 is a wasteful number, since it uses less digits than its factorization.

66839190330240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11127 (or 11112 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 66839190330240 in words is "sixty-six trillion, eight hundred thirty-nine billion, one hundred ninety million, three hundred thirty thousand, two hundred forty".