67249976976 has 640 divisors, whose sum is σ = 247628595200. Its totient is φ = 16997713920.

The previous prime is 67249976971. The next prime is 67249976977. The reversal of 67249976976 is 67967994276.

67249976976 is a `hidden beast` number, since 6 + 7 + 2 + 499 + 7 + 69 + 76 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (67249976971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 169395210 + ... + 169395606.

It is an arithmetic number, because the mean of its divisors is an integer number (386919680).

Almost surely, 2^67249976976 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 67249976976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123814297600).

67249976976 is an abundant number, since it is smaller than the sum of its proper divisors (180378618224).

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

67249976976 is a wasteful number, since it uses less digits than its factorization.

67249976976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 592 counting only the distinct ones).

The product of its digits is 432081216, while the sum is 72.

The spelling of 67249976976 in words is "sixty-seven billion, two hundred forty-nine million, nine hundred seventy-six thousand, nine hundred seventy-six".