4462981632 has 160 divisors (see below), whose sum is σ = 13493779200. Its totient is φ = 1455796224.

The previous prime is 4462981609. The next prime is 4462981639. The reversal of 4462981632 is 2361892644.

4462981632 is a `hidden beast` number, since 4 + 4 + 6 + 2 + 9 + 8 + 1 + 632 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4462981639) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 646294 + ... + 653162.

It is an arithmetic number, because the mean of its divisors is an integer number (84336120).

Almost surely, 2^4462981632 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 4462981632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6746889600).

4462981632 is an abundant number, since it is smaller than the sum of its proper divisors (9030797568).

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

4462981632 is an equidigital number, since it uses as much as digits as its factorization.

4462981632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6943 (or 6921 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 4462981632 is about 66805.5509070915. The cubic root of 4462981632 is about 1646.4240440521.

The spelling of 4462981632 in words is "four billion, four hundred sixty-two million, nine hundred eighty-one thousand, six hundred thirty-two".