8446893840 has 1080 divisors, whose sum is σ = 38951465280. Its totient is φ = 1662819840.

The previous prime is 8446893839. The next prime is 8446893863. The reversal of 8446893840 is 483986448.

It is a tau number, because it is divible by the number of its divisors (1080).

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 215 ways as a sum of consecutive naturals, for example, 444573351 + ... + 444573369.

Almost surely, 2^8446893840 is an apocalyptic number.

8446893840 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 8446893840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19475732640).

8446893840 is an abundant number, since it is smaller than the sum of its proper divisors (30504571440).

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

8446893840 is a wasteful number, since it uses less digits than its factorization.

8446893840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The square root of 8446893840 is about 91906.9847182465. The cubic root of 8446893840 is about 2036.5684523766.

The spelling of 8446893840 in words is "eight billion, four hundred forty-six million, eight hundred ninety-three thousand, eight hundred forty".