67372811136 has 384 divisors, whose sum is σ = 207909374400. Its totient is φ = 20901888000.

The previous prime is 67372811131. The next prime is 67372811141. The reversal of 67372811136 is 63111827376.

It is an interprime number because it is at equal distance from previous prime (67372811131) and next prime (67372811141).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×67372811136³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 67372811091 and 67372811100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67372811131) 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, 138342285 + ... + 138342771.

Almost surely, 2^67372811136 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 67372811136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103954687200).

67372811136 is an abundant number, since it is smaller than the sum of its proper divisors (140536563264).

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

67372811136 is a wasteful number, since it uses less digits than its factorization.

67372811136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 663 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The spelling of 67372811136 in words is "sixty-seven billion, three hundred seventy-two million, eight hundred eleven thousand, one hundred thirty-six".