66271871952 has 320 divisors, whose sum is σ = 224385638400. Its totient is φ = 18462574080.

The previous prime is 66271871917. The next prime is 66271871957. The reversal of 66271871952 is 25917817266.

66271871952 is a `hidden beast` number, since 6 + 627 + 1 + 8 + 7 + 1 + 9 + 5 + 2 = 666.

66271871952 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-2 number, since 2×66271871952² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66271871957) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16245049 + ... + 16249127.

It is an arithmetic number, because the mean of its divisors is an integer number (701205120).

Almost surely, 2^66271871952 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 66271871952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112192819200).

66271871952 is an abundant number, since it is smaller than the sum of its proper divisors (158113766448).

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

66271871952 is a wasteful number, since it uses less digits than its factorization.

66271871952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4383 (or 4371 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The spelling of 66271871952 in words is "sixty-six billion, two hundred seventy-one million, eight hundred seventy-one thousand, nine hundred fifty-two".