66017248909920 has 1344 divisors, whose sum is σ = 297494677670400. Its totient is φ = 13717778457600.

The previous prime is 66017248909919. The next prime is 66017248909949. The reversal of 66017248909920 is 2990984271066.

66017248909920 is a `hidden beast` number, since 6 + 60 + 1 + 7 + 2 + 489 + 0 + 9 + 92 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 440007715 + ... + 440157725.

It is an arithmetic number, because the mean of its divisors is an integer number (221350206600).

Almost surely, 2^{66017248909920} is an apocalyptic number.

66017248909920 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 66017248909920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148747338835200).

66017248909920 is an abundant number, since it is smaller than the sum of its proper divisors (231477428760480).

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

66017248909920 is a wasteful number, since it uses less digits than its factorization.

66017248909920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150076 (or 150039 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 66017248909920 in words is "sixty-six trillion, seventeen billion, two hundred forty-eight million, nine hundred nine thousand, nine hundred twenty".