66142863360 has 760 divisors, whose sum is σ = 274055300640. Its totient is φ = 14948499456.

The previous prime is 66142863323. The next prime is 66142863377. The reversal of 66142863360 is 6336824166.

66142863360 is a `hidden beast` number, since 6 + 6 + 1 + 4 + 2 + 8 + 633 + 6 + 0 = 666.

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 39 ways as a sum of consecutive naturals, for example, 743178196 + ... + 743178284.

Almost surely, 2^66142863360 is an apocalyptic number.

66142863360 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 66142863360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137027650320).

66142863360 is an abundant number, since it is smaller than the sum of its proper divisors (207912437280).

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

66142863360 is an frugal number, since it uses more digits than its factorization.

66142863360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

Adding to 66142863360 its product of nonzero digits (746496), we get a square (66143609856 = 257184²).

The spelling of 66142863360 in words is "sixty-six billion, one hundred forty-two million, eight hundred sixty-three thousand, three hundred sixty".