8669916000 has 240 divisors, whose sum is σ = 31822670880. Its totient is φ = 2311891200.

The previous prime is 8669915993. The next prime is 8669916019. The reversal of 8669916000 is 6199668.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 310621 + ... + 337379.

It is an arithmetic number, because the mean of its divisors is an integer number (132594462).

Almost surely, 2^8669916000 is an apocalyptic number.

8669916000 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 8669916000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15911335440).

8669916000 is an abundant number, since it is smaller than the sum of its proper divisors (23152754880).

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

8669916000 is a wasteful number, since it uses less digits than its factorization.

8669916000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26796 (or 26769 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 8669916000 is about 93112.3837091501. The cubic root of 8669916000 is about 2054.3367245120.

The spelling of 8669916000 in words is "eight billion, six hundred sixty-nine million, nine hundred sixteen thousand".