66407261184 has 352 divisors, whose sum is σ = 217813900800. Its totient is φ = 19816980480.

The previous prime is 66407261161. The next prime is 66407261201. The reversal of 66407261184 is 48116270466.

66407261184 is a `hidden beast` number, since 6 + 6 + 407 + 2 + 61 + 184 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20374947 + ... + 20378205.

Almost surely, 2^66407261184 is an apocalyptic number.

66407261184 is a gapful number since it is divisible by the number (64) 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 66407261184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108906950400).

66407261184 is an abundant number, since it is smaller than the sum of its proper divisors (151406639616).

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

66407261184 is a wasteful number, since it uses less digits than its factorization.

66407261184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3366 (or 3342 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 66407261184 in words is "sixty-six billion, four hundred seven million, two hundred sixty-one thousand, one hundred eighty-four".