66654349440 has 512 divisors, whose sum is σ = 252294013440. Its totient is φ = 14651228160.

The previous prime is 66654349379. The next prime is 66654349441. The reversal of 66654349440 is 4494345666.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (66654349441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40225092 + ... + 40226748.

It is an arithmetic number, because the mean of its divisors is an integer number (492761745).

Almost surely, 2^66654349440 is an apocalyptic number.

66654349440 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 66654349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126147006720).

66654349440 is an abundant number, since it is smaller than the sum of its proper divisors (185639664000).

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

66654349440 is a wasteful number, since it uses less digits than its factorization.

66654349440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1800 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 51.

The spelling of 66654349440 in words is "sixty-six billion, six hundred fifty-four million, three hundred forty-nine thousand, four hundred forty".