8427972480 has 512 divisors, whose sum is σ = 29470003200. Its totient is φ = 2043740160.

The previous prime is 8427972473. The next prime is 8427972493. The reversal of 8427972480 is 842797248.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94696276 + ... + 94696364.

It is an arithmetic number, because the mean of its divisors is an integer number (57558600).

Almost surely, 2^8427972480 is an apocalyptic number.

8427972480 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 8427972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14735001600).

8427972480 is an abundant number, since it is smaller than the sum of its proper divisors (21042030720).

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

8427972480 is a wasteful number, since it uses less digits than its factorization.

8427972480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The square root of 8427972480 is about 91803.9894557965. The cubic root of 8427972480 is about 2035.0466521953.

The spelling of 8427972480 in words is "eight billion, four hundred twenty-seven million, nine hundred seventy-two thousand, four hundred eighty".