67789467648 has 780 divisors, whose sum is σ = 248285198832. Its totient is φ = 18048614400.

The previous prime is 67789467637. The next prime is 67789467649. The reversal of 67789467648 is 84676498776.

It is a happy number.

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 not an unprimeable number, because it can be changed into a prime (67789467649) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 671182798 + ... + 671182898.

Almost surely, 2^67789467648 is an apocalyptic number.

67789467648 is a gapful number since it is divisible by the number (68) 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 67789467648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124142599416).

67789467648 is an abundant number, since it is smaller than the sum of its proper divisors (180495731184).

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

67789467648 is a wasteful number, since it uses less digits than its factorization.

67789467648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 130 counting only the distinct ones).

The product of its digits is 682795008, while the sum is 72.

The spelling of 67789467648 in words is "sixty-seven billion, seven hundred eighty-nine million, four hundred sixty-seven thousand, six hundred forty-eight".