66277894095072 has 960 divisors, whose sum is σ = 232354543196160. Its totient is φ = 18329388134400.

The previous prime is 66277894095019. The next prime is 66277894095097. The reversal of 66277894095072 is 27059049877266.

66277894095072 is a `hidden beast` number, since 6 + 6 + 2 + 7 + 78 + 9 + 40 + 9 + 507 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 1102158318 + ... + 1102218450.

It is an arithmetic number, because the mean of its divisors is an integer number (242035982496).

Almost surely, 2^{66277894095072} is an apocalyptic number.

66277894095072 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 66277894095072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116177271598080).

66277894095072 is an abundant number, since it is smaller than the sum of its proper divisors (166076649101088).

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

66277894095072 is a wasteful number, since it uses less digits than its factorization.

66277894095072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60269 (or 60252 counting only the distinct ones).

The product of its (nonzero) digits is 640120320, while the sum is 72.

The spelling of 66277894095072 in words is "sixty-six trillion, two hundred seventy-seven billion, eight hundred ninety-four million, ninety-five thousand, seventy-two".