66759216781824 has 2880 divisors, whose sum is σ = 259275479164416. Its totient is φ = 16724568047616.

The previous prime is 66759216781813. The next prime is 66759216781849. The reversal of 66759216781824 is 42818761295766.

66759216781824 is a `hidden beast` number, since 6 + 6 + 7 + 592 + 1 + 6 + 7 + 8 + 1 + 8 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 487293553084 + ... + 487293553220.

Almost surely, 2^{66759216781824} is an apocalyptic number.

66759216781824 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 66759216781824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129637739582208).

66759216781824 is an abundant number, since it is smaller than the sum of its proper divisors (192516262382592).

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

66759216781824 is an equidigital number, since it uses as much as digits as its factorization.

66759216781824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 242 counting only the distinct ones).

The product of its digits is 487710720, while the sum is 72.

The spelling of 66759216781824 in words is "sixty-six trillion, seven hundred fifty-nine billion, two hundred sixteen million, seven hundred eighty-one thousand, eight hundred twenty-four".