67540088000 has 448 divisors, whose sum is σ = 211207965696. Its totient is φ = 20782080000.

The previous prime is 67540087997. The next prime is 67540088071. The reversal of 67540088000 is 88004576.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51127340 + ... + 51128660.

It is an arithmetic number, because the mean of its divisors is an integer number (471446352).

Almost surely, 2^67540088000 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 67540088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105603982848).

67540088000 is an abundant number, since it is smaller than the sum of its proper divisors (143667877696).

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

67540088000 is a wasteful number, since it uses less digits than its factorization.

67540088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1449 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The spelling of 67540088000 in words is "sixty-seven billion, five hundred forty million, eighty-eight thousand".