66546480960 has 672 divisors, whose sum is σ = 258263136000. Its totient is φ = 16108388352.

The previous prime is 66546480929. The next prime is 66546480961. The reversal of 66546480960 is 6908464566.

66546480960 is a `hidden beast` number, since 6 + 6 + 546 + 4 + 8 + 0 + 96 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 66546480897 and 66546480906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66546480961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72411381 + ... + 72412299.

Almost surely, 2^66546480960 is an apocalyptic number.

66546480960 is a gapful number since it is divisible by the number (60) 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 66546480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129131568000).

66546480960 is an abundant number, since it is smaller than the sum of its proper divisors (191716655040).

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

66546480960 is a wasteful number, since it uses less digits than its factorization.

66546480960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 66546480960 in words is "sixty-six billion, five hundred forty-six million, four hundred eighty thousand, nine hundred sixty".