4245649632 has 288 divisors, whose sum is σ = 14818894272. Its totient is φ = 1125384192.

The previous prime is 4245649493. The next prime is 4245649633. The reversal of 4245649632 is 2369465424.

4245649632 is a `hidden beast` number, since 4 + 2 + 4 + 5 + 6 + 4 + 9 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4245649633) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2501008 + ... + 2502704.

It is an arithmetic number, because the mean of its divisors is an integer number (51454494).

Almost surely, 2^4245649632 is an apocalyptic number.

4245649632 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4245649632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7409447136).

4245649632 is an abundant number, since it is smaller than the sum of its proper divisors (10573244640).

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

4245649632 is a wasteful number, since it uses less digits than its factorization.

4245649632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810 (or 1799 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The square root of 4245649632 is about 65158.6497097661. The cubic root of 4245649632 is about 1619.2530255396.

The spelling of 4245649632 in words is "four billion, two hundred forty-five million, six hundred forty-nine thousand, six hundred thirty-two".