8466897600 has 1176 divisors, whose sum is σ = 38418442848. Its totient is φ = 1791590400.

The previous prime is 8466897589. The next prime is 8466897631. The reversal of 8466897600 is 67986648.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 138801570 + ... + 138801630.

Almost surely, 2^8466897600 is an apocalyptic number.

8466897600 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 8466897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19209221424).

8466897600 is an abundant number, since it is smaller than the sum of its proper divisors (29951545248).

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

8466897600 is a wasteful number, since it uses less digits than its factorization.

8466897600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 8466897600 is about 92015.7464785240. The cubic root of 8466897600 is about 2038.1748381263.

The spelling of 8466897600 in words is "eight billion, four hundred sixty-six million, eight hundred ninety-seven thousand, six hundred".