42756884280 has 768 divisors, whose sum is σ = 168341846400. Its totient is φ = 9367142400.

The previous prime is 42756884267. The next prime is 42756884329. The reversal of 42756884280 is 8248865724.

42756884280 is a `hidden beast` number, since 427 + 5 + 68 + 84 + 2 + 80 = 666.

It is a super-2 number, since 2×42756884280² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 236225790 + ... + 236225970.

Almost surely, 2^42756884280 is an apocalyptic number.

42756884280 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 42756884280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84170923200).

42756884280 is an abundant number, since it is smaller than the sum of its proper divisors (125584962120).

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

42756884280 is a wasteful number, since it uses less digits than its factorization.

42756884280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 42756884280 in words is "forty-two billion, seven hundred fifty-six million, eight hundred eighty-four thousand, two hundred eighty".