66768596298240 has 320 divisors, whose sum is σ = 220368277527552. Its totient is φ = 17228110233600.

The previous prime is 66768596298137. The next prime is 66768596298281. The reversal of 66768596298240 is 4289269586766.

66768596298240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2100087784 + ... + 2100119576.

Almost surely, 2^{66768596298240} is an apocalyptic number.

66768596298240 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 66768596298240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110184138763776).

66768596298240 is an abundant number, since it is smaller than the sum of its proper divisors (153599681229312).

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

66768596298240 is a wasteful number, since it uses less digits than its factorization.

66768596298240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40671 (or 40655 counting only the distinct ones).

The product of its (nonzero) digits is 3762339840, while the sum is 78.

The spelling of 66768596298240 in words is "sixty-six trillion, seven hundred sixty-eight billion, five hundred ninety-six million, two hundred ninety-eight thousand, two hundred forty".