66054877872 has 80 divisors (see below), whose sum is σ = 177329126400. Its totient is φ = 21164947200.

The previous prime is 66054877843. The next prime is 66054877877. The reversal of 66054877872 is 27877845066.

It is a happy number.

66054877872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×66054877872³ (a number of 33 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (66054877877) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72747 + ... + 370677.

It is an arithmetic number, because the mean of its divisors is an integer number (2216614080).

Almost surely, 2^66054877872 is an apocalyptic number.

66054877872 is a gapful number since it is divisible by the number (62) 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 66054877872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88664563200).

66054877872 is an abundant number, since it is smaller than the sum of its proper divisors (111274248528).

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

66054877872 is a wasteful number, since it uses less digits than its factorization.

66054877872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298122 (or 298116 counting only the distinct ones).

The product of its (nonzero) digits is 31610880, while the sum is 60.

The spelling of 66054877872 in words is "sixty-six billion, fifty-four million, eight hundred seventy-seven thousand, eight hundred seventy-two".