67772787264 has 448 divisors, whose sum is σ = 253146234880. Its totient is φ = 17296312320.

The previous prime is 67772787241. The next prime is 67772787281. The reversal of 67772787264 is 46278727776.

It is a tau number, because it is divible by the number of its divisors (448).

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

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4867737 + ... + 4881639.

It is an arithmetic number, because the mean of its divisors is an integer number (565058560).

Almost surely, 2^67772787264 is an apocalyptic number.

67772787264 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67772787264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126573117440).

67772787264 is an abundant number, since it is smaller than the sum of its proper divisors (185373447616).

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

67772787264 is a wasteful number, since it uses less digits than its factorization.

67772787264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13975 (or 13959 counting only the distinct ones).

The product of its digits is 77446656, while the sum is 63.

The spelling of 67772787264 in words is "sixty-seven billion, seven hundred seventy-two million, seven hundred eighty-seven thousand, two hundred sixty-four".