8401065984 has 336 divisors, whose sum is σ = 26747589960. Its totient is φ = 2627665920.

The previous prime is 8401065977. The next prime is 8401065989. The reversal of 8401065984 is 4895601048.

8401065984 is a `hidden beast` number, since 8 + 40 + 10 + 6 + 598 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8401065989) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 25380699 + ... + 25381029.

Almost surely, 2^8401065984 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 8401065984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13373794980).

8401065984 is an abundant number, since it is smaller than the sum of its proper divisors (18346523976).

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

8401065984 is an equidigital number, since it uses as much as digits as its factorization.

8401065984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 8401065984 is about 91657.3291341178. The cubic root of 8401065984 is about 2032.8786990603.

The spelling of 8401065984 in words is "eight billion, four hundred one million, sixty-five thousand, nine hundred eighty-four".