67538289991680 has 1344 divisors, whose sum is σ = 252260914913280. Its totient is φ = 17321170305024.

The previous prime is 67538289991661. The next prime is 67538289991709. The reversal of 67538289991680 is 8619998283576.

67538289991680 is a `hidden beast` number, since 6 + 7 + 5 + 382 + 8 + 99 + 91 + 68 + 0 = 666.

It is a super-2 number, since 2×67538289991680² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 67538289991680.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27600444217 + ... + 27600446663.

It is an arithmetic number, because the mean of its divisors is an integer number (187694133120).

Almost surely, 2^{67538289991680} is an apocalyptic number.

67538289991680 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 67538289991680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126130457456640).

67538289991680 is an abundant number, since it is smaller than the sum of its proper divisors (184722624921600).

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

67538289991680 is an equidigital number, since it uses as much as digits as its factorization.

67538289991680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2599 (or 2563 counting only the distinct ones).

The product of its (nonzero) digits is 2821754880, while the sum is 81.

The spelling of 67538289991680 in words is "sixty-seven trillion, five hundred thirty-eight billion, two hundred eighty-nine million, nine hundred ninety-one thousand, six hundred eighty".