42755643756 has 216 divisors, whose sum is σ = 134011777536. Its totient is φ = 11251791360.

The previous prime is 42755643751. The next prime is 42755643781. The reversal of 42755643756 is 65734655724.

42755643756 is a `hidden beast` number, since 4 + 2 + 7 + 5 + 564 + 3 + 75 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (42755643751) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3416671 + ... + 3429161.

It is an arithmetic number, because the mean of its divisors is an integer number (620424896).

Almost surely, 2^42755643756 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 42755643756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67005888768).

42755643756 is an abundant number, since it is smaller than the sum of its proper divisors (91256133780).

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

42755643756 is a wasteful number, since it uses less digits than its factorization.

42755643756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12589 (or 12567 counting only the distinct ones).

The product of its digits is 21168000, while the sum is 54.

The spelling of 42755643756 in words is "forty-two billion, seven hundred fifty-five million, six hundred forty-three thousand, seven hundred fifty-six".