8712963000 has 768 divisors, whose sum is σ = 36796032000. Its totient is φ = 1814400000.

The previous prime is 8712962989. The next prime is 8712963023. The reversal of 8712963000 is 3692178.

8712963000 is a `hidden beast` number, since 8 + 7 + 12 + 9 + 630 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34712875 + ... + 34713125.

It is an arithmetic number, because the mean of its divisors is an integer number (47911500).

Almost surely, 2^8712963000 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 8712963000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18398016000).

8712963000 is an abundant number, since it is smaller than the sum of its proper divisors (28083069000).

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

8712963000 is a wasteful number, since it uses less digits than its factorization.

8712963000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 8712963000 is about 93343.2536394570. The cubic root of 8712963000 is about 2057.7311086385.

The spelling of 8712963000 in words is "eight billion, seven hundred twelve million, nine hundred sixty-three thousand".