64042776 has 96 divisors (see below), whose sum is σ = 204672000. Its totient is φ = 17703360.

The previous prime is 64042763. The next prime is 64042793. The reversal of 64042776 is 67724046.

64042776 is a `hidden beast` number, since 640 + 4 + 2 + 7 + 7 + 6 = 666.

64042776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 64042776.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13575 + ... + 17673.

It is an arithmetic number, because the mean of its divisors is an integer number (2132000).

Almost surely, 2^64042776 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 64042776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102336000).

64042776 is an abundant number, since it is smaller than the sum of its proper divisors (140629224).

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

64042776 is a wasteful number, since it uses less digits than its factorization.

64042776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4149 (or 4142 counting only the distinct ones).

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

The square root of 64042776 is about 8002.6730534241. The cubic root of 64042776 is about 400.0890968196.

Subtracting from 64042776 its product of nonzero digits (56448), we obtain a triangular number (63986328 = T₁₁₃₁₂).

It can be divided in two parts, 6404 and 2776, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 64042776 in words is "sixty-four million, forty-two thousand, seven hundred seventy-six".