66826080000 has 720 divisors, whose sum is σ = 255418240000. Its totient is φ = 17210880000.

The previous prime is 66826079939. The next prime is 66826080001. The reversal of 66826080000 is 8062866.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66826080001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 133919751 + ... + 133920249.

Almost surely, 2^66826080000 is an apocalyptic number.

66826080000 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 66826080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127709120000).

66826080000 is an abundant number, since it is smaller than the sum of its proper divisors (188592160000).

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

66826080000 is an equidigital number, since it uses as much as digits as its factorization.

66826080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 66826080000 in words is "sixty-six billion, eight hundred twenty-six million, eighty thousand".