64416672 has 144 divisors (see below), whose sum is σ = 198132480. Its totient is φ = 19777536.

The previous prime is 64416647. The next prime is 64416673. The reversal of 64416672 is 27661446.

64416672 is a `hidden beast` number, since 644 + 1 + 6 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64416673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 288753 + ... + 288975.

It is an arithmetic number, because the mean of its divisors is an integer number (1375920).

Almost surely, 2^64416672 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 64416672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99066240).

64416672 is an abundant number, since it is smaller than the sum of its proper divisors (133715808).

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

64416672 is a wasteful number, since it uses less digits than its factorization.

64416672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 304 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 64416672 is about 8025.9997508099. Note that the first 3 decimals coincide. The cubic root of 64416672 is about 400.8661896017.

The spelling of 64416672 in words is "sixty-four million, four hundred sixteen thousand, six hundred seventy-two".