67787280000 has 960 divisors, whose sum is σ = 276631074720. Its totient is φ = 16381440000.

The previous prime is 67787279957. The next prime is 67787280031. The reversal of 67787280000 is 8278776.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 119 ways as a sum of consecutive naturals, for example, 213839842 + ... + 213840158.

Almost surely, 2^67787280000 is an apocalyptic number.

67787280000 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 67787280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138315537360).

67787280000 is an abundant number, since it is smaller than the sum of its proper divisors (208843794720).

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

67787280000 is an equidigital number, since it uses as much as digits as its factorization.

67787280000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 67787280000 in words is "sixty-seven billion, seven hundred eighty-seven million, two hundred eighty thousand".