67697943920640 has 900 divisors, whose sum is σ = 266775068107548. Its totient is φ = 16411428126720.

The previous prime is 67697943920603. The next prime is 67697943920683. The reversal of 67697943920640 is 4602934979676.

67697943920640 is a `hidden beast` number, since 6 + 7 + 6 + 97 + 94 + 392 + 0 + 64 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20351214157824 + 47346729762816 = 4511232^2 + 6880896^2 .

It is a super-2 number, since 2×67697943920640² (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 802855762 + ... + 802940078.

Almost surely, 2^{67697943920640} is an apocalyptic number.

67697943920640 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 67697943920640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133387534053774).

67697943920640 is an abundant number, since it is smaller than the sum of its proper divisors (199077124186908).

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

67697943920640 is an equidigital number, since it uses as much as digits as its factorization.

67697943920640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84384 (or 84338 counting only the distinct ones).

The product of its (nonzero) digits is 740710656, while the sum is 72.

The spelling of 67697943920640 in words is "sixty-seven trillion, six hundred ninety-seven billion, nine hundred forty-three million, nine hundred twenty thousand, six hundred forty".