67975158240 has 864 divisors, whose sum is σ = 278064783360. Its totient is φ = 14977843200.

The previous prime is 67975158221. The next prime is 67975158241. The reversal of 67975158240 is 4285157976.

67975158240 is a `hidden beast` number, since 6 + 7 + 9 + 7 + 51 + 582 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67975158241) 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 143 ways as a sum of consecutive naturals, for example, 141910321 + ... + 141910799.

It is an arithmetic number, because the mean of its divisors is an integer number (321834240).

Almost surely, 2^67975158240 is an apocalyptic number.

67975158240 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 67975158240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139032391680).

67975158240 is an abundant number, since it is smaller than the sum of its proper divisors (210089625120).

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

67975158240 is a wasteful number, since it uses less digits than its factorization.

67975158240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 67975158240 in words is "sixty-seven billion, nine hundred seventy-five million, one hundred fifty-eight thousand, two hundred forty".