42760757714268 has 96 divisors (see below), whose sum is σ = 109249319208960. Its totient is φ = 12909755471040.

The previous prime is 42760757714267. The next prime is 42760757714333. The reversal of 42760757714268 is 86241775706724.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 42760757714199 and 42760757714208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42760757714261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219518571 + ... + 219713277.

It is an arithmetic number, because the mean of its divisors is an integer number (1138013741760).

Almost surely, 2^{42760757714268} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42760757714268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54624659604480).

42760757714268 is an abundant number, since it is smaller than the sum of its proper divisors (66488561494692).

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

42760757714268 is a wasteful number, since it uses less digits than its factorization.

42760757714268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200887 (or 200885 counting only the distinct ones).

The product of its (nonzero) digits is 221276160, while the sum is 66.

The spelling of 42760757714268 in words is "forty-two trillion, seven hundred sixty billion, seven hundred fifty-seven million, seven hundred fourteen thousand, two hundred sixty-eight".