67116672000 has 1584 divisors, whose sum is σ = 298147515120. Its totient is φ = 14450688000.

The previous prime is 67116671983. The next prime is 67116672001. The reversal of 67116672000 is 27661176.

It can be written as a sum of positive squares in 8 ways, for example, as 39565983744 + 27550688256 = 198912^2 + 165984^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (67116672001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1636991980 + ... + 1636992020.

Almost surely, 2^67116672000 is an apocalyptic number.

67116672000 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 67116672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149073757560).

67116672000 is an abundant number, since it is smaller than the sum of its proper divisors (231030843120).

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

67116672000 is a wasteful number, since it uses less digits than its factorization.

67116672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 67116672000 in words is "sixty-seven billion, one hundred sixteen million, six hundred seventy-two thousand".