67775864832 has 504 divisors, whose sum is σ = 221200841316. Its totient is φ = 20639121408.

The previous prime is 67775864659. The next prime is 67775864833. The reversal of 67775864832 is 23846857776.

67775864832 is a `hidden beast` number, since 6 + 7 + 7 + 7 + 586 + 48 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 64524128256 + 3251736576 = 254016^2 + 57024^2 .

Its product of digits (94832640) is a multiple of the sum of its prime factors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 67775864832.

It is not an unprimeable number, because it can be changed into a prime (67775864833) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 698720208 + ... + 698720304.

Almost surely, 2^67775864832 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 67775864832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110600420658).

67775864832 is an abundant number, since it is smaller than the sum of its proper divisors (153424976484).

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

67775864832 is an frugal number, since it uses more digits than its factorization.

67775864832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 115 counting only the distinct ones).

The product of its digits is 94832640, while the sum is 63.

The spelling of 67775864832 in words is "sixty-seven billion, seven hundred seventy-five million, eight hundred sixty-four thousand, eight hundred thirty-two".