67734771264 has 140 divisors (see below), whose sum is σ = 201309236700. Its totient is φ = 22519544832.

The previous prime is 67734771233. The next prime is 67734771271. The reversal of 67734771264 is 46217743776.

It can be written as a sum of positive squares in 2 ways, for example, as 46998771264 + 20736000000 = 216792^2 + 144000^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 67734771264.

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 19 ways as a sum of consecutive naturals, for example, 1999782 + ... + 2033370.

Almost surely, 2^67734771264 is an apocalyptic number.

67734771264 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 67734771264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100654618350).

67734771264 is an abundant number, since it is smaller than the sum of its proper divisors (133574465436).

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

67734771264 is a wasteful number, since it uses less digits than its factorization.

67734771264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34002 (or 33983 counting only the distinct ones).

The product of its digits is 8297856, while the sum is 54.

The spelling of 67734771264 in words is "sixty-seven billion, seven hundred thirty-four million, seven hundred seventy-one thousand, two hundred sixty-four".