64240672 has 72 divisors (see below), whose sum is σ = 137105136. Its totient is φ = 29614464.

The previous prime is 64240651. The next prime is 64240699. The reversal of 64240672 is 27604246.

It is a super-3 number, since 3×64240672³ (a number of 24 digits) contains 333 as substring.

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 11 ways as a sum of consecutive naturals, for example, 773943 + ... + 774025.

It is an arithmetic number, because the mean of its divisors is an integer number (1904238).

Almost surely, 2^64240672 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 64240672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68552568).

64240672 is an abundant number, since it is smaller than the sum of its proper divisors (72864464).

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

64240672 is a wasteful number, since it uses less digits than its factorization.

64240672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 64240672 is about 8015.0278851667. The cubic root of 64240672 is about 400.5007728049.

It can be divided in two parts, 642 and 40672, that added together give a palindrome (41314).

The spelling of 64240672 in words is "sixty-four million, two hundred forty thousand, six hundred seventy-two".