8204016480 has 384 divisors, whose sum is σ = 29458598400. Its totient is φ = 1900953600.

The previous prime is 8204016467. The next prime is 8204016481. The reversal of 8204016480 is 846104028.

It is a super-2 number, since 2×8204016480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8204016481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20058516 + ... + 20058924.

It is an arithmetic number, because the mean of its divisors is an integer number (76715100).

Almost surely, 2^8204016480 is an apocalyptic number.

8204016480 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 8204016480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14729299200).

8204016480 is an abundant number, since it is smaller than the sum of its proper divisors (21254581920).

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

8204016480 is a wasteful number, since it uses less digits than its factorization.

8204016480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 8204016480 is about 90576.0259671399. The cubic root of 8204016480 is about 2016.8588633919.

The spelling of 8204016480 in words is "eight billion, two hundred four million, sixteen thousand, four hundred eighty".