66132778800 has 960 divisors, whose sum is σ = 251739316224. Its totient is φ = 14689382400.

The previous prime is 66132778799. The next prime is 66132778823. The reversal of 66132778800 is 887723166.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 66132778800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 987056367 + ... + 987056433.

Almost surely, 2^66132778800 is an apocalyptic number.

66132778800 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 66132778800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125869658112).

66132778800 is an abundant number, since it is smaller than the sum of its proper divisors (185606537424).

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

66132778800 is a wasteful number, since it uses less digits than its factorization.

66132778800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 66132778800 in words is "sixty-six billion, one hundred thirty-two million, seven hundred seventy-eight thousand, eight hundred".