66346884864 has 1008 divisors, whose sum is σ = 236456297280. Its totient is φ = 18393661440.

The previous prime is 66346884859. The next prime is 66346884889. The reversal of 66346884864 is 46848864366.

66346884864 is a `hidden beast` number, since 66 + 34 + 68 + 8 + 486 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1618216684 + ... + 1618216724.

It is an arithmetic number, because the mean of its divisors is an integer number (234579660).

Almost surely, 2^66346884864 is an apocalyptic number.

66346884864 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 66346884864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118228148640).

66346884864 is an abundant number, since it is smaller than the sum of its proper divisors (170109412416).

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

66346884864 is a wasteful number, since it uses less digits than its factorization.

66346884864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 111 counting only the distinct ones).

The product of its digits is 127401984, while the sum is 63.

The spelling of 66346884864 in words is "sixty-six billion, three hundred forty-six million, eight hundred eighty-four thousand, eight hundred sixty-four".