64578672 has 60 divisors (see below), whose sum is σ = 181495080. Its totient is φ = 21435264.

The previous prime is 64578671. The next prime is 64578707. The reversal of 64578672 is 27687546.

64578672 is a `hidden beast` number, since 6 + 4 + 578 + 6 + 72 = 666.

64578672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64578671) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 39079 + ... + 40697.

It is an arithmetic number, because the mean of its divisors is an integer number (3024918).

Almost surely, 2^64578672 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 64578672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90747540).

64578672 is an abundant number, since it is smaller than the sum of its proper divisors (116916408).

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

64578672 is a wasteful number, since it uses less digits than its factorization.

64578672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910 (or 1901 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 64578672 is about 8036.0856142776. The cubic root of 64578672 is about 401.2019513316.

It can be divided in two parts, 6457 and 8672, that added together give a square (15129 = 123²).

The spelling of 64578672 in words is "sixty-four million, five hundred seventy-eight thousand, six hundred seventy-two".