8845006464 has 384 divisors, whose sum is σ = 31977000000. Its totient is φ = 2393266176.

The previous prime is 8845006439. The next prime is 8845006493. The reversal of 8845006464 is 4646005488.

8845006464 is a `hidden beast` number, since 8 + 84 + 500 + 6 + 4 + 64 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3216162 + ... + 3218910.

Almost surely, 2^8845006464 is an apocalyptic number.

8845006464 is a gapful number since it is divisible by the number (84) 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 8845006464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15988500000).

8845006464 is an abundant number, since it is smaller than the sum of its proper divisors (23131993536).

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

8845006464 is a wasteful number, since it uses less digits than its factorization.

8845006464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2805 (or 2780 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 8845006464 is about 94047.8945218871. The cubic root of 8845006464 is about 2068.0738899131.

The spelling of 8845006464 in words is "eight billion, eight hundred forty-five million, six thousand, four hundred sixty-four".