66205662906240 has 3072 divisors, whose sum is σ = 294897213112320. Its totient is φ = 13963854643200.

The previous prime is 66205662906239. The next prime is 66205662906241. The reversal of 66205662906240 is 4260926650266.

66205662906240 is a `hidden beast` number, since 6 + 6 + 2 + 0 + 5 + 6 + 6 + 2 + 9 + 0 + 624 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (66205662906239) and next prime (66205662906241).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66205662906241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 36316873969 + ... + 36316875791.

It is an arithmetic number, because the mean of its divisors is an integer number (95995186560).

Almost surely, 2^{66205662906240} is an apocalyptic number.

66205662906240 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 66205662906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147448606556160).

66205662906240 is an abundant number, since it is smaller than the sum of its proper divisors (228691550206080).

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

66205662906240 is a wasteful number, since it uses less digits than its factorization.

66205662906240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1975 (or 1951 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 66205662906240 in words is "sixty-six trillion, two hundred five billion, six hundred sixty-two million, nine hundred six thousand, two hundred forty".