8478743040 has 400 divisors, whose sum is σ = 31371563520. Its totient is φ = 2186403840.

The previous prime is 8478743003. The next prime is 8478743041. The reversal of 8478743040 is 403478748.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8478743041) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 6427501 + ... + 6428819.

Almost surely, 2^8478743040 is an apocalyptic number.

8478743040 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 8478743040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15685781760).

8478743040 is an abundant number, since it is smaller than the sum of its proper divisors (22892820480).

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

8478743040 is a wasteful number, since it uses less digits than its factorization.

8478743040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The square root of 8478743040 is about 92080.0903561677. The cubic root of 8478743040 is about 2039.1248841635.

The spelling of 8478743040 in words is "eight billion, four hundred seventy-eight million, seven hundred forty-three thousand, forty".