66102341760 has 1024 divisors, whose sum is σ = 291284582400. Its totient is φ = 13795246080.

The previous prime is 66102341743. The next prime is 66102341783. The reversal of 66102341760 is 6714320166.

It is a happy number.

66102341760 is a `hidden beast` number, since 6 + 610 + 2 + 34 + 1 + 7 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 199704795 + ... + 199705125.

It is an arithmetic number, because the mean of its divisors is an integer number (284457600).

Almost surely, 2^66102341760 is an apocalyptic number.

66102341760 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 66102341760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145642291200).

66102341760 is an abundant number, since it is smaller than the sum of its proper divisors (225182240640).

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

66102341760 is a wasteful number, since it uses less digits than its factorization.

66102341760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 66102341760 in words is "sixty-six billion, one hundred two million, three hundred forty-one thousand, seven hundred sixty".