66737728512000 has 5376 divisors, whose sum is σ = 325795795992576. Its totient is φ = 12740198400000.

The previous prime is 66737728511999. The next prime is 66737728512067. The reversal of 66737728512000 is 21582773766.

It is a happy number.

66737728512000 is a `hidden beast` number, since 6 + 67 + 377 + 2 + 8 + 5 + 1 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 441971711925 + ... + 441971712075.

It is an arithmetic number, because the mean of its divisors is an integer number (60601896576).

Almost surely, 2^{66737728512000} is an apocalyptic number.

66737728512000 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 66737728512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162897897996288).

66737728512000 is an abundant number, since it is smaller than the sum of its proper divisors (259058067480576).

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

66737728512000 is a wasteful number, since it uses less digits than its factorization.

66737728512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 66737728512000 in words is "sixty-six trillion, seven hundred thirty-seven billion, seven hundred twenty-eight million, five hundred twelve thousand".