66443038421760 has 4320 divisors, whose sum is σ = 326319143141376. Its totient is φ = 12465886003200.

The previous prime is 66443038421729. The next prime is 66443038421861. The reversal of 66443038421760 is 6712483034466.

66443038421760 is a `hidden beast` number, since 6 + 6 + 4 + 43 + 0 + 384 + 217 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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 = 66443038421697 and 66443038421706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 523173530817 + ... + 523173530943.

Almost surely, 2^{66443038421760} is an apocalyptic number.

66443038421760 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 66443038421760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163159571570688).

66443038421760 is an abundant number, since it is smaller than the sum of its proper divisors (259876104719616).

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

66443038421760 is a wasteful number, since it uses less digits than its factorization.

66443038421760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 66443038421760 in words is "sixty-six trillion, four hundred forty-three billion, thirty-eight million, four hundred twenty-one thousand, seven hundred sixty".