8047428480 has 576 divisors, whose sum is σ = 34418610720. Its totient is φ = 1696481280.

The previous prime is 8047428449. The next prime is 8047428481. The reversal of 8047428480 is 848247408.

It is a happy number.

8047428480 is a `hidden beast` number, since 80 + 4 + 74 + 28 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×8047428480² (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 not an unprimeable number, because it can be changed into a prime (8047428481) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6813490 + ... + 6814670.

Almost surely, 2^8047428480 is an apocalyptic number.

8047428480 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 8047428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17209305360).

8047428480 is an abundant number, since it is smaller than the sum of its proper divisors (26371182240).

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

8047428480 is a wasteful number, since it uses less digits than its factorization.

8047428480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The square root of 8047428480 is about 89707.4605593091. The cubic root of 8047428480 is about 2003.9445883300.

The spelling of 8047428480 in words is "eight billion, forty-seven million, four hundred twenty-eight thousand, four hundred eighty".