67616641024 has 117 divisors (see below), whose sum is σ = 144242092957. Its totient is φ = 31686459392.

The previous prime is 67616641013. The next prime is 67616641031. The reversal of 67616641024 is 42014661676.

The square root of 67616641024 is 260032.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 52642713600 + 14973927424 = 229440^2 + 122368^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 282914697 + ... + 282914935.

Almost surely, 2^67616641024 is an apocalyptic number.

67616641024 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

67616641024 is the 260032-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67616641024

67616641024 is an abundant number, since it is smaller than the sum of its proper divisors (76625451933).

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

67616641024 is an frugal number, since it uses more digits than its factorization.

67616641024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The spelling of 67616641024 in words is "sixty-seven billion, six hundred sixteen million, six hundred forty-one thousand, twenty-four".