66503743488 has 576 divisors, whose sum is σ = 244216627200. Its totient is φ = 16960389120.

The previous prime is 66503743459. The next prime is 66503743517. The reversal of 66503743488 is 88434730566.

66503743488 is a `hidden beast` number, since 66 + 503 + 74 + 3 + 4 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (66503743459) and next prime (66503743517).

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×66503743488² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 51996033 + ... + 51997311.

It is an arithmetic number, because the mean of its divisors is an integer number (423987200).

Almost surely, 2^66503743488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66503743488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122108313600).

66503743488 is an abundant number, since it is smaller than the sum of its proper divisors (177712883712).

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

66503743488 is a wasteful number, since it uses less digits than its factorization.

66503743488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1335 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 66503743488 in words is "sixty-six billion, five hundred three million, seven hundred forty-three thousand, four hundred eighty-eight".