66567536640000 has 2640 divisors, whose sum is σ = 286169576172480. Its totient is φ = 15288238080000.

The previous prime is 66567536639969. The next prime is 66567536640013. The reversal of 66567536640000 is 4663576566.

66567536640000 is a `hidden beast` number, since 6 + 6 + 5 + 67 + 536 + 6 + 40 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2640).

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 119 ways as a sum of consecutive naturals, for example, 3503554559991 + ... + 3503554560009.

It is an arithmetic number, because the mean of its divisors is an integer number (108397566732).

Almost surely, 2^{66567536640000} is an apocalyptic number.

66567536640000 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 66567536640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143084788086240).

66567536640000 is an abundant number, since it is smaller than the sum of its proper divisors (219602039532480).

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

66567536640000 is an frugal number, since it uses more digits than its factorization.

66567536640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 54.

The spelling of 66567536640000 in words is "sixty-six trillion, five hundred sixty-seven billion, five hundred thirty-six million, six hundred forty thousand".