67897743264 has 240 divisors, whose sum is σ = 215971176960. Its totient is φ = 20801733120.

The previous prime is 67897743259. The next prime is 67897743281. The reversal of 67897743264 is 46234779876.

It is a happy number.

67897743264 is a `hidden beast` number, since 6 + 78 + 9 + 77 + 432 + 64 = 666.

It is a super-2 number, since 2×67897743264² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 8049129 + ... + 8057559.

It is an arithmetic number, because the mean of its divisors is an integer number (899879904).

Almost surely, 2^67897743264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67897743264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107985588480).

67897743264 is an abundant number, since it is smaller than the sum of its proper divisors (148073433696).

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

67897743264 is a wasteful number, since it uses less digits than its factorization.

67897743264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8705 (or 8688 counting only the distinct ones).

The product of its digits is 85349376, while the sum is 63.

The spelling of 67897743264 in words is "sixty-seven billion, eight hundred ninety-seven million, seven hundred forty-three thousand, two hundred sixty-four".