67712875776 has 720 divisors, whose sum is σ = 252973616000. Its totient is φ = 17858340864.

The previous prime is 67712875759. The next prime is 67712875777. The reversal of 67712875776 is 67757821776.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (48404160) is a multiple of the sum of its prime factors (98).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67712875777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5208682746 + ... + 5208682758.

Almost surely, 2^67712875776 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 67712875776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126486808000).

67712875776 is an abundant number, since it is smaller than the sum of its proper divisors (185260740224).

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

67712875776 is an frugal number, since it uses more digits than its factorization.

67712875776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 25 counting only the distinct ones).

The product of its digits is 48404160, while the sum is 63.

The spelling of 67712875776 in words is "sixty-seven billion, seven hundred twelve million, eight hundred seventy-five thousand, seven hundred seventy-six".