64465632 has 480 divisors, whose sum is σ = 263450880. Its totient is φ = 14929920.

The previous prime is 64465627. The next prime is 64465633. The reversal of 64465632 is 23656446.

64465632 is a `hidden beast` number, since 644 + 6 + 5 + 6 + 3 + 2 = 666.

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 (64465633) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3392919 + ... + 3392937.

It is an arithmetic number, because the mean of its divisors is an integer number (548856).

Almost surely, 2^64465632 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 64465632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131725440).

64465632 is an abundant number, since it is smaller than the sum of its proper divisors (198985248).

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

64465632 is a wasteful number, since it uses less digits than its factorization.

64465632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 59 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 64465632 is about 8029.0492587853. The cubic root of 64465632 is about 400.9677235564.

The spelling of 64465632 in words is "sixty-four million, four hundred sixty-five thousand, six hundred thirty-two".