42760818828 has 864 divisors, whose sum is σ = 158109719040. Its totient is φ = 9580032000.

The previous prime is 42760818817. The next prime is 42760818833. The reversal of 42760818828 is 82881806724.

42760818828 is a `hidden beast` number, since 4 + 2 + 7 + 608 + 1 + 8 + 8 + 28 = 666.

42760818828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 170361703 + ... + 170361953.

It is an arithmetic number, because the mean of its divisors is an integer number (182997360).

Almost surely, 2^42760818828 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 42760818828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79054859520).

42760818828 is an abundant number, since it is smaller than the sum of its proper divisors (115348900212).

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

42760818828 is a wasteful number, since it uses less digits than its factorization.

42760818828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 42760818828 in words is "forty-two billion, seven hundred sixty million, eight hundred eighteen thousand, eight hundred twenty-eight".