42758474760 has 384 divisors, whose sum is σ = 153545932800. Its totient is φ = 10271162880.

The previous prime is 42758474743. The next prime is 42758474777. The reversal of 42758474760 is 6747485724.

42758474760 is a `hidden beast` number, since 42 + 75 + 8 + 474 + 7 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (42758474743) and next prime (42758474777).

It is a junction number, because it is equal to n+sod(n) for n = 42758474697 and 42758474706.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30047409 + ... + 30048831.

It is an arithmetic number, because the mean of its divisors is an integer number (399859200).

Almost surely, 2^42758474760 is an apocalyptic number.

42758474760 is a gapful number since it is divisible by the number (40) 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 42758474760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76772966400).

42758474760 is an abundant number, since it is smaller than the sum of its proper divisors (110787458040).

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

42758474760 is a wasteful number, since it uses less digits than its factorization.

42758474760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 10536960, while the sum is 54.

The spelling of 42758474760 in words is "forty-two billion, seven hundred fifty-eight million, four hundred seventy-four thousand, seven hundred sixty".