66549044487744 has 1008 divisors, whose sum is σ = 250600767580800. Its totient is φ = 17353959727104.

The previous prime is 66549044487649. The next prime is 66549044487797. The reversal of 66549044487744 is 44778444094566.

66549044487744 is a `hidden beast` number, since 6 + 6 + 54 + 90 + 4 + 4 + 487 + 7 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 881651797 + ... + 881727275.

It is an arithmetic number, because the mean of its divisors is an integer number (248611872600).

Almost surely, 2^{66549044487744} is an apocalyptic number.

66549044487744 is a gapful number since it is divisible by the number (64) 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 66549044487744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125300383790400).

66549044487744 is an abundant number, since it is smaller than the sum of its proper divisors (184051723093056).

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

66549044487744 is a wasteful number, since it uses less digits than its factorization.

66549044487744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75622 (or 75593 counting only the distinct ones).

The product of its (nonzero) digits is 2601123840, while the sum is 72.

The spelling of 66549044487744 in words is "sixty-six trillion, five hundred forty-nine billion, forty-four million, four hundred eighty-seven thousand, seven hundred forty-four".