8695749000 has 256 divisors, whose sum is σ = 28705248000. Its totient is φ = 2185574400.

The previous prime is 8695748983. The next prime is 8695749031. The reversal of 8695749000 is 9475968.

It is a Cunningham number, because it is equal to 93251²-1.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21260796 + ... + 21261204.

It is an arithmetic number, because the mean of its divisors is an integer number (112129875).

Almost surely, 2^8695749000 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 8695749000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14352624000).

8695749000 is an abundant number, since it is smaller than the sum of its proper divisors (20009499000).

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

8695749000 is a wasteful number, since it uses less digits than its factorization.

8695749000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 8695749000 is about 93250.9999946381. Note that the first 5 decimals coincide. The cubic root of 8695749000 is about 2056.3750779260.

The spelling of 8695749000 in words is "eight billion, six hundred ninety-five million, seven hundred forty-nine thousand".