1632638760 has 128 divisors (see below), whose sum is σ = 4962021120. Its totient is φ = 429719552.

The previous prime is 1632638753. The next prime is 1632638771. The reversal of 1632638760 is 678362361.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5150122 + ... + 5150438.

It is an arithmetic number, because the mean of its divisors is an integer number (38765790).

Almost surely, 2^1632638760 is an apocalyptic number.

1632638760 is a gapful number since it is divisible by the number (10) 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 1632638760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2481010560).

1632638760 is an abundant number, since it is smaller than the sum of its proper divisors (3329382360).

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

1632638760 is a wasteful number, since it uses less digits than its factorization.

1632638760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 1632638760 is about 40405.9248130766. The cubic root of 1632638760 is about 1177.5066475164.

The spelling of 1632638760 in words is "one billion, six hundred thirty-two million, six hundred thirty-eight thousand, seven hundred sixty".