42752564316 has 720 divisors, whose sum is σ = 151677453312. Its totient is φ = 10194336000.

The previous prime is 42752564279. The next prime is 42752564329. The reversal of 42752564316 is 61346525724.

42752564316 is a `hidden beast` number, since 4 + 2 + 7 + 52 + 564 + 31 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 423292666 + ... + 423292766.

Almost surely, 2^42752564316 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 42752564316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75838726656).

42752564316 is an abundant number, since it is smaller than the sum of its proper divisors (108924888996).

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

42752564316 is a wasteful number, since it uses less digits than its factorization.

42752564316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 190 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The spelling of 42752564316 in words is "forty-two billion, seven hundred fifty-two million, five hundred sixty-four thousand, three hundred sixteen".