67878144000 has 576 divisors, whose sum is σ = 259205047920. Its totient is φ = 17026252800.

The previous prime is 67878143989. The next prime is 67878144007. The reversal of 67878144000 is 44187876.

It can be written as a sum of positive squares in 8 ways, for example, as 5912994816 + 61965149184 = 76896^2 + 248928^2 .

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (67878144007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39167134 + ... + 39168866.

Almost surely, 2^67878144000 is an apocalyptic number.

67878144000 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 67878144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129602523960).

67878144000 is an abundant number, since it is smaller than the sum of its proper divisors (191326903920).

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

67878144000 is a wasteful number, since it uses less digits than its factorization.

67878144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1793 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 67878144000 in words is "sixty-seven billion, eight hundred seventy-eight million, one hundred forty-four thousand".