66705588016704 has 560 divisors, whose sum is σ = 253948950275328. Its totient is φ = 16827780575232.

The previous prime is 66705588016687. The next prime is 66705588016741. The reversal of 66705588016704 is 40761088550766.

66705588016704 is a `hidden beast` number, since 6 + 6 + 7 + 0 + 558 + 8 + 0 + 1 + 6 + 70 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7776154 + ... + 13924070.

Almost surely, 2^{66705588016704} is an apocalyptic number.

66705588016704 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 66705588016704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126974475137664).

66705588016704 is an abundant number, since it is smaller than the sum of its proper divisors (187243362258624).

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

66705588016704 is a wasteful number, since it uses less digits than its factorization.

66705588016704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6147984 (or 6147965 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 66705588016704 in words is "sixty-six trillion, seven hundred five billion, five hundred eighty-eight million, sixteen thousand, seven hundred four".