42064776 has 72 divisors (see below), whose sum is σ = 123398730. Its totient is φ = 12939264.

The previous prime is 42064753. The next prime is 42064787. The reversal of 42064776 is 67746024.

42064776 is a `hidden beast` number, since 4 + 2 + 0 + 647 + 7 + 6 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 8122500 + 33942276 = 2850^2 + 5826^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42064776.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10440 + ... + 13896.

Almost surely, 2^42064776 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 42064776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61699365).

42064776 is an abundant number, since it is smaller than the sum of its proper divisors (81333954).

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

42064776 is a wasteful number, since it uses less digits than its factorization.

42064776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3495 (or 3475 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 42064776 is about 6485.7363498681. The cubic root of 42064776 is about 347.7812735726.

The spelling of 42064776 in words is "forty-two million, sixty-four thousand, seven hundred seventy-six".