8477478240 has 768 divisors, whose sum is σ = 35300966400. Its totient is φ = 1693440000.

The previous prime is 8477478239. The next prime is 8477478263. The reversal of 8477478240 is 428747748.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 56142165 + ... + 56142315.

It is an arithmetic number, because the mean of its divisors is an integer number (45964800).

Almost surely, 2^8477478240 is an apocalyptic number.

8477478240 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 8477478240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17650483200).

8477478240 is an abundant number, since it is smaller than the sum of its proper divisors (26823488160).

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

8477478240 is a wasteful number, since it uses less digits than its factorization.

8477478240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 2809856, while the sum is 51.

The square root of 8477478240 is about 92073.2221658393. Note that the first 3 decimals coincide. The cubic root of 8477478240 is about 2039.0234849586.

The spelling of 8477478240 in words is "eight billion, four hundred seventy-seven million, four hundred seventy-eight thousand, two hundred forty".