67377666770401 has 32 divisors (see below), whose sum is σ = 77221445333760. Its totient is φ = 58345088465664.

The previous prime is 67377666770389. The next prime is 67377666770411. The reversal of 67377666770401 is 10407766677376.

It is not a de Polignac number, because 67377666770401 - 2⁵ = 67377666770369 is a prime.

It is a super-3 number, since 3×67377666770401³ (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (67377666770411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14311311 + ... + 18427396.

It is an arithmetic number, because the mean of its divisors is an integer number (2413170166680).

Almost surely, 2^{67377666770401} is an apocalyptic number.

It is an amenable number.

67377666770401 is a deficient number, since it is larger than the sum of its proper divisors (9843778563359).

67377666770401 is a wasteful number, since it uses less digits than its factorization.

67377666770401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32738905.

The product of its (nonzero) digits is 261382464, while the sum is 67.

The spelling of 67377666770401 in words is "sixty-seven trillion, three hundred seventy-seven billion, six hundred sixty-six million, seven hundred seventy thousand, four hundred one".