1638616752 has 60 divisors (see below), whose sum is σ = 4606144920. Its totient is φ = 543788544.

The previous prime is 1638616751. The next prime is 1638616801. The reversal of 1638616752 is 2576168361.

1638616752 is a `hidden beast` number, since 1 + 638 + 6 + 1 + 6 + 7 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1638616698 and 1638616707.

It is not an unprimeable number, because it can be changed into a prime (1638616751) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7624 + ... + 57752.

It is an arithmetic number, because the mean of its divisors is an integer number (76769082).

Almost surely, 2^1638616752 is an apocalyptic number.

1638616752 is a gapful number since it is divisible by the number (12) 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 1638616752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2303072460).

1638616752 is an abundant number, since it is smaller than the sum of its proper divisors (2967528168).

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

1638616752 is a wasteful number, since it uses less digits than its factorization.

1638616752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50370 (or 50361 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 1638616752 is about 40479.8314225739. The cubic root of 1638616752 is about 1178.9420643295.

The spelling of 1638616752 in words is "one billion, six hundred thirty-eight million, six hundred sixteen thousand, seven hundred fifty-two".