66780000000 has 864 divisors, whose sum is σ = 280250845056. Its totient is φ = 14976000000.

The previous prime is 66779999999. The next prime is 66780000011. The reversal of 66780000000 is 8766.

66780000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 5300 × 4500 × 2800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1259999974 + ... + 1260000026.

It is an arithmetic number, because the mean of its divisors is an integer number (324364404).

Almost surely, 2^66780000000 is an apocalyptic number.

66780000000 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 66780000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140125422528).

66780000000 is an abundant number, since it is smaller than the sum of its proper divisors (213470845056).

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

66780000000 is an frugal number, since it uses more digits than its factorization.

66780000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 66780000000 its reverse (8766), we get a palindrome (66780008766).

The spelling of 66780000000 in words is "sixty-six billion, seven hundred eighty million", and thus it is an aban number.