8284391640 has 320 divisors, whose sum is σ = 32851906560. Its totient is φ = 1832336640.

The previous prime is 8284391611. The next prime is 8284391677. The reversal of 8284391640 is 461934828.

It is a happy number.

It is a super-2 number, since 2×8284391640² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 697189 + ... + 708971.

It is an arithmetic number, because the mean of its divisors is an integer number (102662208).

Almost surely, 2^8284391640 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 8284391640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16425953280).

8284391640 is an abundant number, since it is smaller than the sum of its proper divisors (24567514920).

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

8284391640 is a wasteful number, since it uses less digits than its factorization.

8284391640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11844 (or 11831 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 8284391640 is about 91018.6334768876. The cubic root of 8284391640 is about 2023.4238929371.

The spelling of 8284391640 in words is "eight billion, two hundred eighty-four million, three hundred ninety-one thousand, six hundred forty".