42685267968 has 768 divisors, whose sum is σ = 157032345600. Its totient is φ = 10899947520.

The previous prime is 42685267943. The next prime is 42685268011. The reversal of 42685267968 is 86976258624.

42685267968 is a `hidden beast` number, since 42 + 6 + 8 + 526 + 7 + 9 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-3 number, since 3×42685267968³ (a number of 33 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

Its product of digits (69672960) is a multiple of the sum of its prime factors (126).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1376944113 + ... + 1376944143.

It is an arithmetic number, because the mean of its divisors is an integer number (204469200).

Almost surely, 2^42685267968 is an apocalyptic number.

42685267968 is a gapful number since it is divisible by the number (48) 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 42685267968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78516172800).

42685267968 is an abundant number, since it is smaller than the sum of its proper divisors (114347077632).

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

42685267968 is a wasteful number, since it uses less digits than its factorization.

42685267968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 95 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 42685267968 in words is "forty-two billion, six hundred eighty-five million, two hundred sixty-seven thousand, nine hundred sixty-eight".