66178811160 has 1280 divisors, whose sum is σ = 294395904000. Its totient is φ = 12933043200.

The previous prime is 66178811147. The next prime is 66178811189. The reversal of 66178811160 is 6111887166.

66178811160 is a `hidden beast` number, since 6 + 617 + 8 + 8 + 11 + 16 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 332556741 + ... + 332556939.

It is an arithmetic number, because the mean of its divisors is an integer number (229996800).

Almost surely, 2^66178811160 is an apocalyptic number.

66178811160 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 66178811160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147197952000).

66178811160 is an abundant number, since it is smaller than the sum of its proper divisors (228217092840).

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

66178811160 is a wasteful number, since it uses less digits than its factorization.

66178811160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 66178811160 in words is "sixty-six billion, one hundred seventy-eight million, eight hundred eleven thousand, one hundred sixty".