66735871488 has 960 divisors, whose sum is σ = 244228368384. Its totient is φ = 18065203200.

The previous prime is 66735871487. The next prime is 66735871507. The reversal of 66735871488 is 88417853766.

66735871488 is a `hidden beast` number, since 6 + 6 + 7 + 3 + 587 + 1 + 48 + 8 = 666.

Its product of digits (54190080) is a multiple of the sum of its prime divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66735871487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2152770033 + ... + 2152770063.

Almost surely, 2^66735871488 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 66735871488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122114184192).

66735871488 is an abundant number, since it is smaller than the sum of its proper divisors (177492496896).

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

66735871488 is an equidigital number, since it uses as much as digits as its factorization.

66735871488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 60 counting only the distinct ones).

The product of its digits is 54190080, while the sum is 63.

The spelling of 66735871488 in words is "sixty-six billion, seven hundred thirty-five million, eight hundred seventy-one thousand, four hundred eighty-eight".