67737778416 has 640 divisors, whose sum is σ = 254475141120. Its totient is φ = 16740172800.

The previous prime is 67737778387. The next prime is 67737778421. The reversal of 67737778416 is 61487773776.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 57845511 + ... + 57846681.

It is an arithmetic number, because the mean of its divisors is an integer number (397617408).

Almost surely, 2^67737778416 is an apocalyptic number.

67737778416 is a gapful number since it is divisible by the number (66) 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 67737778416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127237570560).

67737778416 is an abundant number, since it is smaller than the sum of its proper divisors (186737362704).

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

67737778416 is a wasteful number, since it uses less digits than its factorization.

67737778416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1290 (or 1278 counting only the distinct ones).

The product of its digits is 58084992, while the sum is 63.

The spelling of 67737778416 in words is "sixty-seven billion, seven hundred thirty-seven million, seven hundred seventy-eight thousand, four hundred sixteen".