8646973440 has 384 divisors, whose sum is σ = 32078592000. Its totient is φ = 1947598848.

The previous prime is 8646973417. The next prime is 8646973453. The reversal of 8646973440 is 443796468.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16987906 + ... + 16988414.

It is an arithmetic number, because the mean of its divisors is an integer number (83538000).

Almost surely, 2^8646973440 is an apocalyptic number.

8646973440 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 8646973440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16039296000).

8646973440 is an abundant number, since it is smaller than the sum of its proper divisors (23431618560).

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

8646973440 is a wasteful number, since it uses less digits than its factorization.

8646973440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The square root of 8646973440 is about 92989.1038778200. The cubic root of 8646973440 is about 2052.5230437895.

The spelling of 8646973440 in words is "eight billion, six hundred forty-six million, nine hundred seventy-three thousand, four hundred forty".