66534048000 has 1440 divisors, whose sum is σ = 299400541440. Its totient is φ = 14332723200.

The previous prime is 66534047999. The next prime is 66534048013. The reversal of 66534048000 is 84043566.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 159 ways as a sum of consecutive naturals, for example, 344735904 + ... + 344736096.

Almost surely, 2^66534048000 is an apocalyptic number.

66534048000 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 66534048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149700270720).

66534048000 is an abundant number, since it is smaller than the sum of its proper divisors (232866493440).

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

66534048000 is a wasteful number, since it uses less digits than its factorization.

66534048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 66534048000 in words is "sixty-six billion, five hundred thirty-four million, forty-eight thousand".