8001630000 has 600 divisors, whose sum is σ = 34475689248. Its totient is φ = 1686528000.

The previous prime is 8001629983. The next prime is 8001630029. The reversal of 8001630000 is 361008.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8189512 + ... + 8190488.

Almost surely, 2^8001630000 is an apocalyptic number.

8001630000 is a gapful number since it is divisible by the number (80) 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 8001630000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17237844624).

8001630000 is an abundant number, since it is smaller than the sum of its proper divisors (26474059248).

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

8001630000 is a wasteful number, since it uses less digits than its factorization.

8001630000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 8001630000 is about 89451.8306129058. The cubic root of 8001630000 is about 2000.1358241090.

Adding to 8001630000 its reverse (361008), we get a palindrome (8001991008).

The spelling of 8001630000 in words is "eight billion, one million, six hundred thirty thousand".