42752782080 has 432 divisors, whose sum is σ = 152364060576. Its totient is φ = 11063623680.

The previous prime is 42752782073. The next prime is 42752782087. The reversal of 42752782080 is 8028725724.

42752782080 is a `hidden beast` number, since 4 + 27 + 527 + 8 + 20 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (42752782073) and next prime (42752782087).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42752782087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58325394 + ... + 58326126.

Almost surely, 2^42752782080 is an apocalyptic number.

42752782080 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 42752782080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76182030288).

42752782080 is an abundant number, since it is smaller than the sum of its proper divisors (109611278496).

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

42752782080 is a wasteful number, since it uses less digits than its factorization.

42752782080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 42752782080 in words is "forty-two billion, seven hundred fifty-two million, seven hundred eighty-two thousand, eighty".