67998312540 has 120 divisors (see below), whose sum is σ = 213863569920. Its totient is φ = 18086101632.

The previous prime is 67998312521. The next prime is 67998312541. The reversal of 67998312540 is 4521389976.

67998312540 is a `hidden beast` number, since 6 + 7 + 9 + 9 + 83 + 12 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67998312541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 576229 + ... + 684131.

It is an arithmetic number, because the mean of its divisors is an integer number (1782196416).

It is a 1-persistent number, because it is pandigital, but 2⋅67998312540 = 135996625080 is not.

Almost surely, 2^67998312540 is an apocalyptic number.

67998312540 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 67998312540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106931784960).

67998312540 is an abundant number, since it is smaller than the sum of its proper divisors (145865257380).

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

67998312540 is a wasteful number, since it uses less digits than its factorization.

67998312540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108313 (or 108302 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 67998312540 in words is "sixty-seven billion, nine hundred ninety-eight million, three hundred twelve thousand, five hundred forty".