67787387136 has 432 divisors, whose sum is σ = 234460699200. Its totient is φ = 19262251008.

The previous prime is 67787387071. The next prime is 67787387141. The reversal of 67787387136 is 63178378776.

It is a tau number, because it is divible by the number of its divisors (432).

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78913875 + ... + 78914733.

It is an arithmetic number, because the mean of its divisors is an integer number (542733100).

Almost surely, 2^67787387136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67787387136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117230349600).

67787387136 is an abundant number, since it is smaller than the sum of its proper divisors (166673312064).

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

67787387136 is a wasteful number, since it uses less digits than its factorization.

67787387136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1104 counting only the distinct ones).

The product of its digits is 49787136, while the sum is 63.

The spelling of 67787387136 in words is "sixty-seven billion, seven hundred eighty-seven million, three hundred eighty-seven thousand, one hundred thirty-six".