8466691968 has 576 divisors, whose sum is σ = 31057225200. Its totient is φ = 2263597056.

The previous prime is 8466691963. The next prime is 8466691991. The reversal of 8466691968 is 8691966648.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8466691963) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48940330 + ... + 48940502.

Almost surely, 2^8466691968 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 8466691968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15528612600).

8466691968 is an abundant number, since it is smaller than the sum of its proper divisors (22590533232).

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

8466691968 is a wasteful number, since it uses less digits than its factorization.

8466691968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 202 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 63.

The square root of 8466691968 is about 92014.6290977690. The cubic root of 8466691968 is about 2038.1583378928.

The spelling of 8466691968 in words is "eight billion, four hundred sixty-six million, six hundred ninety-one thousand, nine hundred sixty-eight".