67287878784 has 288 divisors, whose sum is σ = 227581181100. Its totient is φ = 19025362944.

The previous prime is 67287878753. The next prime is 67287878797. The reversal of 67287878784 is 48787878276.

It can be written as a sum of positive squares in 2 ways, for example, as 65983224384 + 1304654400 = 256872^2 + 36120^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5469312 + ... + 5481600.

Almost surely, 2^67287878784 is an apocalyptic number.

67287878784 is a gapful number since it is divisible by the number (64) 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 67287878784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113790590550).

67287878784 is an abundant number, since it is smaller than the sum of its proper divisors (160293302316).

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

67287878784 is a wasteful number, since it uses less digits than its factorization.

67287878784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12420 (or 12398 counting only the distinct ones).

The product of its digits is 472055808, while the sum is 72.

The spelling of 67287878784 in words is "sixty-seven billion, two hundred eighty-seven million, eight hundred seventy-eight thousand, seven hundred eighty-four".