8259469920 has 288 divisors, whose sum is σ = 30462868800. Its totient is φ = 2025787392.

The previous prime is 8259469919. The next prime is 8259469931. The reversal of 8259469920 is 299649528.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

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, 6719866 + ... + 6721094.

It is an arithmetic number, because the mean of its divisors is an integer number (105773850).

Almost surely, 2^8259469920 is an apocalyptic number.

8259469920 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 8259469920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15231434400).

8259469920 is an abundant number, since it is smaller than the sum of its proper divisors (22203398880).

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

8259469920 is a wasteful number, since it uses less digits than its factorization.

8259469920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1622 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The square root of 8259469920 is about 90881.6258657381. The cubic root of 8259469920 is about 2021.3928504315.

The spelling of 8259469920 in words is "eight billion, two hundred fifty-nine million, four hundred sixty-nine thousand, nine hundred twenty".