66214872438624 has 384 divisors, whose sum is σ = 241723149696000. Its totient is φ = 17167274348544.

The previous prime is 66214872438601. The next prime is 66214872438679. The reversal of 66214872438624 is 42683427841266.

66214872438624 is a `hidden beast` number, since 6 + 6 + 214 + 87 + 243 + 86 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2498229 + ... + 11775860.

It is an arithmetic number, because the mean of its divisors is an integer number (629487369000).

Almost surely, 2^{66214872438624} 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 66214872438624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120861574848000).

66214872438624 is an abundant number, since it is smaller than the sum of its proper divisors (175508277257376).

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

66214872438624 is a wasteful number, since it uses less digits than its factorization.

66214872438624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14274187 (or 14274173 counting only the distinct ones).

The product of its digits is 148635648, while the sum is 63.

The spelling of 66214872438624 in words is "sixty-six trillion, two hundred fourteen billion, eight hundred seventy-two million, four hundred thirty-eight thousand, six hundred twenty-four".