67168486254240 has 3456 divisors, whose sum is σ = 304925886720000. Its totient is φ = 13858787819520.

The previous prime is 67168486254227. The next prime is 67168486254241. The reversal of 67168486254240 is 4245268486176.

It is a happy number.

67168486254240 is a `hidden beast` number, since 6 + 7 + 1 + 6 + 8 + 4 + 86 + 2 + 542 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (67168486254241) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 149595737536 + ... + 149595737984.

It is an arithmetic number, because the mean of its divisors is an integer number (88230870000).

Almost surely, 2^{67168486254240} is an apocalyptic number.

67168486254240 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 67168486254240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152462943360000).

67168486254240 is an abundant number, since it is smaller than the sum of its proper divisors (237757400465760).

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

67168486254240 is a wasteful number, since it uses less digits than its factorization.

67168486254240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 63.

The spelling of 67168486254240 in words is "sixty-seven trillion, one hundred sixty-eight billion, four hundred eighty-six million, two hundred fifty-four thousand, two hundred forty".