42679924246512 has 320 divisors, whose sum is σ = 147727218662400. Its totient is φ = 11525013642240.

The previous prime is 42679924246459. The next prime is 42679924246517. The reversal of 42679924246512 is 21564242997624.

42679924246512 is a `hidden beast` number, since 4 + 2 + 6 + 7 + 9 + 92 + 4 + 24 + 6 + 512 = 666.

42679924246512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42679924246512² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 42679924246512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42679924246517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23306758 + ... + 25071194.

It is an arithmetic number, because the mean of its divisors is an integer number (461647558320).

Almost surely, 2^{42679924246512} is an apocalyptic number.

42679924246512 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42679924246512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73863609331200).

42679924246512 is an abundant number, since it is smaller than the sum of its proper divisors (105047294415888).

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

42679924246512 is a wasteful number, since it uses less digits than its factorization.

42679924246512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764901 (or 1764889 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 42679924246512 in words is "forty-two trillion, six hundred seventy-nine billion, nine hundred twenty-four million, two hundred forty-six thousand, five hundred twelve".