67397568835968 has 2048 divisors, whose sum is σ = 254337408000000. Its totient is φ = 17128177532928.

The previous prime is 67397568835897. The next prime is 67397568836023. The reversal of 67397568835968 is 86953886579376.

67397568835968 is a `hidden beast` number, since 6 + 7 + 3 + 9 + 7 + 5 + 6 + 8 + 8 + 3 + 596 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 173258531518 + ... + 173258531906.

It is an arithmetic number, because the mean of its divisors is an integer number (124188187500).

Almost surely, 2^{67397568835968} is an apocalyptic number.

67397568835968 is a gapful number since it is divisible by the number (68) 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 67397568835968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127168704000000).

67397568835968 is an abundant number, since it is smaller than the sum of its proper divisors (186939839164032).

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

67397568835968 is a wasteful number, since it uses less digits than its factorization.

67397568835968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 719 counting only the distinct ones).

The product of its digits is 98761420800, while the sum is 90.

The spelling of 67397568835968 in words is "sixty-seven trillion, three hundred ninety-seven billion, five hundred sixty-eight million, eight hundred thirty-five thousand, nine hundred sixty-eight".