67577280881616 has 60 divisors (see below), whose sum is σ = 206315486332800. Its totient is φ = 20477963903040.

The previous prime is 67577280881609. The next prime is 67577280881699. The reversal of 67577280881616 is 61618808277576.

It is a happy number.

67577280881616 is a `hidden beast` number, since 6 + 7 + 577 + 28 + 0 + 8 + 8 + 16 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21331210816 + ... + 21331213983.

It is an arithmetic number, because the mean of its divisors is an integer number (3438591438880).

Almost surely, 2^{67577280881616} is an apocalyptic number.

67577280881616 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

67577280881616 is an abundant number, since it is smaller than the sum of its proper divisors (138738205451184).

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

67577280881616 is a wasteful number, since it uses less digits than its factorization.

67577280881616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42662424824 (or 42662424815 counting only the distinct ones).

The product of its (nonzero) digits is 379330560, while the sum is 72.

The spelling of 67577280881616 in words is "sixty-seven trillion, five hundred seventy-seven billion, two hundred eighty million, eight hundred eighty-one thousand, six hundred sixteen".