66042617760 has 672 divisors, whose sum is σ = 273197256192. Its totient is φ = 14765690880.

The previous prime is 66042617747. The next prime is 66042617783. The reversal of 66042617760 is 6771624066.

It is a happy number.

66042617760 is a `hidden beast` number, since 6 + 604 + 26 + 17 + 7 + 6 + 0 = 666.

66042617760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 38373700 + ... + 38375420.

It is an arithmetic number, because the mean of its divisors is an integer number (406543536).

Almost surely, 2^66042617760 is an apocalyptic number.

66042617760 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 66042617760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136598628096).

66042617760 is an abundant number, since it is smaller than the sum of its proper divisors (207154638432).

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

66042617760 is a wasteful number, since it uses less digits than its factorization.

66042617760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 66042617760 in words is "sixty-six billion, forty-two million, six hundred seventeen thousand, seven hundred sixty".