66095372448 has 216 divisors, whose sum is σ = 219917824308. Its totient is φ = 18774540288.

The previous prime is 66095372401. The next prime is 66095372449. The reversal of 66095372448 is 84427359066.

66095372448 is a `hidden beast` number, since 6 + 60 + 9 + 537 + 2 + 4 + 48 = 666.

66095372448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 62366071824 + 3729300624 = 249732^2 + 61068^2 .

It is a junction number, because it is equal to n+sod(n) for n = 66095372394 and 66095372403.

It is not an unprimeable number, because it can be changed into a prime (66095372449) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2427840 + ... + 2454912.

Almost surely, 2^66095372448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66095372448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109958912154).

66095372448 is an abundant number, since it is smaller than the sum of its proper divisors (153822451860).

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

66095372448 is a wasteful number, since it uses less digits than its factorization.

66095372448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27276 (or 27258 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 66095372448 in words is "sixty-six billion, ninety-five million, three hundred seventy-two thousand, four hundred forty-eight".