66852794880 has 640 divisors, whose sum is σ = 246824202240. Its totient is φ = 17139548160.

The previous prime is 66852794867. The next prime is 66852794927. The reversal of 66852794880 is 8849725866.

66852794880 is a `hidden beast` number, since 6 + 6 + 85 + 2 + 79 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 246689145 + ... + 246689415.

It is an arithmetic number, because the mean of its divisors is an integer number (385662816).

Almost surely, 2^66852794880 is an apocalyptic number.

66852794880 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 66852794880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123412101120).

66852794880 is an abundant number, since it is smaller than the sum of its proper divisors (179971407360).

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

66852794880 is a wasteful number, since it uses less digits than its factorization.

66852794880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 66852794880 in words is "sixty-six billion, eight hundred fifty-two million, seven hundred ninety-four thousand, eight hundred eighty".