42707528964 has 189 divisors, whose sum is σ = 116026060773. Its totient is φ = 13748543424.

The previous prime is 42707528953. The next prime is 42707528993. The reversal of 42707528964 is 46982570724.

The square root of 42707528964 is 206658.

It is a perfect power (a square), and thus also a powerful number.

42707528964 is a `hidden beast` number, since 4 + 27 + 0 + 7 + 528 + 96 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8200751364 + 34506777600 = 90558^2 + 185760^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 42707528964.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 479859832 + ... + 479859920.

Almost surely, 2^42707528964 is an apocalyptic number.

42707528964 is the 206658-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42707528964

42707528964 is an abundant number, since it is smaller than the sum of its proper divisors (73318531809).

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

42707528964 is an frugal number, since it uses more digits than its factorization.

42707528964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 42707528964 in words is "forty-two billion, seven hundred seven million, five hundred twenty-eight thousand, nine hundred sixty-four".