8219040480 has 216 divisors, whose sum is σ = 32626935432. Its totient is φ = 1878621696.

The previous prime is 8219040449. The next prime is 8219040493. The reversal of 8219040480 is 840409128.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12319 + ... + 128801.

It is an arithmetic number, because the mean of its divisors is an integer number (151050627).

Almost surely, 2^8219040480 is an apocalyptic number.

8219040480 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 8219040480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16313467716).

8219040480 is an abundant number, since it is smaller than the sum of its proper divisors (24407894952).

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

8219040480 is a wasteful number, since it uses less digits than its factorization.

8219040480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116518 (or 116500 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 8219040480 is about 90658.9238850760. The cubic root of 8219040480 is about 2018.0892692359.

The spelling of 8219040480 in words is "eight billion, two hundred nineteen million, forty thousand, four hundred eighty".