66541742496 has 144 divisors (see below), whose sum is σ = 192949192800. Its totient is φ = 21746425344.

The previous prime is 66541742483. The next prime is 66541742537. The reversal of 66541742496 is 69424714566.

66541742496 is a `hidden beast` number, since 6 + 6 + 541 + 7 + 4 + 2 + 4 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 6604855 + ... + 6614921.

It is an arithmetic number, because the mean of its divisors is an integer number (1339924950).

Almost surely, 2^66541742496 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 66541742496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96474596400).

66541742496 is an abundant number, since it is smaller than the sum of its proper divisors (126407450304).

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

66541742496 is a wasteful number, since it uses less digits than its factorization.

66541742496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10531 (or 10520 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 66541742496 in words is "sixty-six billion, five hundred forty-one million, seven hundred forty-two thousand, four hundred ninety-six".