8729910000 has 800 divisors, whose sum is σ = 37188096000. Its totient is φ = 1918080000.

The previous prime is 8729909987. The next prime is 8729910047. The reversal of 8729910000 is 199278.

It is a happy number.

It is a super-2 number, since 2×8729910000² (a number of 21 digits) contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 58589926 + ... + 58590074.

It is an arithmetic number, because the mean of its divisors is an integer number (46485120).

Almost surely, 2^8729910000 is an apocalyptic number.

8729910000 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 8729910000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18594048000).

8729910000 is an abundant number, since it is smaller than the sum of its proper divisors (28458186000).

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

8729910000 is a wasteful number, since it uses less digits than its factorization.

8729910000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 8729910000 is about 93433.9873921690. The cubic root of 8729910000 is about 2059.0643628635.

The spelling of 8729910000 in words is "eight billion, seven hundred twenty-nine million, nine hundred ten thousand".