1630463640 has 128 divisors (see below), whose sum is σ = 5278875840. Its totient is φ = 400490496.

The previous prime is 1630463603. The next prime is 1630463657. The reversal of 1630463640 is 463640361.

It is a Cunningham number, because it is equal to 40379²-1.

It is a super-3 number, since 3×1630463640³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1049104 + ... + 1050656.

Almost surely, 2^1630463640 is an apocalyptic number.

1630463640 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 1630463640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2639437920).

1630463640 is an abundant number, since it is smaller than the sum of its proper divisors (3648412200).

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

1630463640 is a wasteful number, since it uses less digits than its factorization.

1630463640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2253 (or 2249 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 33.

The square root of 1630463640 is about 40378.9999876173. Note that the first 4 decimals coincide. The cubic root of 1630463640 is about 1176.9834951452.

The spelling of 1630463640 in words is "one billion, six hundred thirty million, four hundred sixty-three thousand, six hundred forty".