67877761536 has 320 divisors, whose sum is σ = 219096810240. Its totient is φ = 20880986112.

The previous prime is 67877761433. The next prime is 67877761577. The reversal of 67877761536 is 63516777876.

67877761536 is a `hidden beast` number, since 6 + 7 + 8 + 7 + 7 + 7 + 615 + 3 + 6 = 666.

It is a super-2 number, since 2×67877761536² (a number of 22 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 14554341 + ... + 14559003.

It is an arithmetic number, because the mean of its divisors is an integer number (684677532).

Almost surely, 2^67877761536 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 67877761536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109548405120).

67877761536 is an abundant number, since it is smaller than the sum of its proper divisors (151219048704).

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

67877761536 is an frugal number, since it uses more digits than its factorization.

67877761536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4715 (or 4681 counting only the distinct ones).

The product of its digits is 62233920, while the sum is 63.

The spelling of 67877761536 in words is "sixty-seven billion, eight hundred seventy-seven million, seven hundred sixty-one thousand, five hundred thirty-six".