66286723403520 has 720 divisors, whose sum is σ = 251996751689760. Its totient is φ = 16605630332928.

The previous prime is 66286723403497. The next prime is 66286723403539. The reversal of 66286723403520 is 2530432768266.

66286723403520 is a `hidden beast` number, since 6 + 6 + 2 + 8 + 6 + 72 + 3 + 40 + 3 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 110950719 + ... + 111546561.

It is an arithmetic number, because the mean of its divisors is an integer number (349995488458).

Almost surely, 2^{66286723403520} is an apocalyptic number.

66286723403520 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 66286723403520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125998375844880).

66286723403520 is an abundant number, since it is smaller than the sum of its proper divisors (185710028286240).

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

66286723403520 is a wasteful number, since it uses less digits than its factorization.

66286723403520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595942 (or 595919 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 66286723403520 in words is "sixty-six trillion, two hundred eighty-six billion, seven hundred twenty-three million, four hundred three thousand, five hundred twenty".