42768623106 has 128 divisors (see below), whose sum is σ = 107091072000. Its totient is φ = 12539681280.

The previous prime is 42768623089. The next prime is 42768623113. The reversal of 42768623106 is 60132686724.

42768623106 is a `hidden beast` number, since 4 + 2 + 7 + 6 + 8 + 623 + 10 + 6 = 666.

It is a super-3 number, since 3×42768623106³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2725170 + ... + 2740818.

It is an arithmetic number, because the mean of its divisors is an integer number (836649000).

Almost surely, 2^42768623106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42768623106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53545536000).

42768623106 is an abundant number, since it is smaller than the sum of its proper divisors (64322448894).

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

42768623106 is a wasteful number, since it uses less digits than its factorization.

42768623106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15821 (or 15815 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 42768623106 in words is "forty-two billion, seven hundred sixty-eight million, six hundred twenty-three thousand, one hundred six".