42688179360 has 144 divisors (see below), whose sum is σ = 151068861216. Its totient is φ = 11383504128.

The previous prime is 42688179283. The next prime is 42688179361. The reversal of 42688179360 is 6397188624.

42688179360 is a `hidden beast` number, since 4 + 268 + 8 + 17 + 9 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×42688179360³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 42688179297 and 42688179306.

It is not an unprimeable number, because it can be changed into a prime (42688179361) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 510094 + ... + 587853.

It is an arithmetic number, because the mean of its divisors is an integer number (1049089314).

Almost surely, 2^42688179360 is an apocalyptic number.

42688179360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42688179360 is an abundant number, since it is smaller than the sum of its proper divisors (108380681856).

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

42688179360 is a wasteful number, since it uses less digits than its factorization.

42688179360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097977 (or 1097957 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 42688179360 in words is "forty-two billion, six hundred eighty-eight million, one hundred seventy-nine thousand, three hundred sixty".