67768584975 has 144 divisors (see below), whose sum is σ = 151074705600. Its totient is φ = 28274780160.

The previous prime is 67768584959. The next prime is 67768584977. The reversal of 67768584975 is 57948586776.

67768584975 is a `hidden beast` number, since 6 + 77 + 68 + 5 + 8 + 497 + 5 = 666.

It is a Cunningham number, because it is equal to 260324²-1.

It is not a de Polignac number, because 67768584975 - 2⁴ = 67768584959 is a prime.

It is a super-2 number, since 2×67768584975² (a number of 22 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (67768584977) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1803681 + ... + 1840869.

It is an arithmetic number, because the mean of its divisors is an integer number (1049129900).

Almost surely, 2^67768584975 is an apocalyptic number.

67768584975 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

67768584975 is an abundant number, since it is smaller than the sum of its proper divisors (83306120625).

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

67768584975 is a wasteful number, since it uses less digits than its factorization.

67768584975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37314 (or 37306 counting only the distinct ones).

The product of its digits is 711244800, while the sum is 72.

The spelling of 67768584975 in words is "sixty-seven billion, seven hundred sixty-eight million, five hundred eighty-four thousand, nine hundred seventy-five".