8250729984 has 400 divisors, whose sum is σ = 28531486368. Its totient is φ = 2325086208.

The previous prime is 8250729973. The next prime is 8250729989. The reversal of 8250729984 is 4899270528.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 8250729984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8250729989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28159342 + ... + 28159634.

Almost surely, 2^8250729984 is an apocalyptic number.

8250729984 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 8250729984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14265743184).

8250729984 is an abundant number, since it is smaller than the sum of its proper divisors (20280756384).

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

8250729984 is an equidigital number, since it uses as much as digits as its factorization.

8250729984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 8250729984 is about 90833.5289637037. The cubic root of 8250729984 is about 2020.6796053323.

The spelling of 8250729984 in words is "eight billion, two hundred fifty million, seven hundred twenty-nine thousand, nine hundred eighty-four".