66048466176 has 576 divisors, whose sum is σ = 245154416640. Its totient is φ = 17040015360.

The previous prime is 66048466171. The next prime is 66048466223. The reversal of 66048466176 is 67166484066.

It is a happy number.

66048466176 is a `hidden beast` number, since 6 + 6 + 0 + 4 + 8 + 466 + 176 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 (66048466171) 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, 102718911 + ... + 102719553.

Almost surely, 2^66048466176 is an apocalyptic number.

66048466176 is a gapful number since it is divisible by the number (66) 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 66048466176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122577208320).

66048466176 is an abundant number, since it is smaller than the sum of its proper divisors (179105950464).

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

66048466176 is a wasteful number, since it uses less digits than its factorization.

66048466176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 66048466176 in words is "sixty-six billion, forty-eight million, four hundred sixty-six thousand, one hundred seventy-six".