67132810788240 has 160 divisors (see below), whose sum is σ = 219273809328000. Its totient is φ = 16943699128320.

The previous prime is 67132810788209. The next prime is 67132810788247. The reversal of 67132810788240 is 4288701823176.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (67132810788247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2233771 + ... + 11800650.

It is an arithmetic number, because the mean of its divisors is an integer number (1370461308300).

Almost surely, 2^{67132810788240} is an apocalyptic number.

67132810788240 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 67132810788240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109636904664000).

67132810788240 is an abundant number, since it is smaller than the sum of its proper divisors (152140998539760).

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

67132810788240 is a wasteful number, since it uses less digits than its factorization.

67132810788240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14035505 (or 14035499 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 57.

The spelling of 67132810788240 in words is "sixty-seven trillion, one hundred thirty-two billion, eight hundred ten million, seven hundred eighty-eight thousand, two hundred forty".