67983685321761 has 24 divisors (see below), whose sum is σ = 107126124932736. Its totient is φ = 41202111313440.

The previous prime is 67983685321723. The next prime is 67983685321763. The reversal of 67983685321761 is 16712358638976.

It is a happy number.

67983685321761 is a `hidden beast` number, since 6 + 7 + 9 + 83 + 6 + 8 + 532 + 1 + 7 + 6 + 1 = 666.

It is not a de Polignac number, because 67983685321761 - 2⁷ = 67983685321633 is a prime.

It is a super-2 number, since 2×67983685321761² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 67983685321761.

It is not an unprimeable number, because it can be changed into a prime (67983685321763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41406651 + ... + 43017183.

It is an arithmetic number, because the mean of its divisors is an integer number (4463588538864).

Almost surely, 2^{67983685321761} is an apocalyptic number.

It is an amenable number.

67983685321761 is a deficient number, since it is larger than the sum of its proper divisors (39142439610975).

67983685321761 is a wasteful number, since it uses less digits than its factorization.

67983685321761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2036933 (or 2036930 counting only the distinct ones).

The product of its digits is 548674560, while the sum is 72.

The spelling of 67983685321761 in words is "sixty-seven trillion, nine hundred eighty-three billion, six hundred eighty-five million, three hundred twenty-one thousand, seven hundred sixty-one".