8477472960 has 1008 divisors, whose sum is σ = 35857025568. Its totient is φ = 1897758720.

The previous prime is 8477472947. The next prime is 8477472973. The reversal of 8477472960 is 692747748.

8477472960 is a `hidden beast` number, since 84 + 7 + 7 + 472 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8477472947) and next prime (8477472973).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8477472897 and 8477472906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 159952294 + ... + 159952346.

It is an arithmetic number, because the mean of its divisors is an integer number (35572446).

Almost surely, 2^8477472960 is an apocalyptic number.

8477472960 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 8477472960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17928512784).

8477472960 is an abundant number, since it is smaller than the sum of its proper divisors (27379552608).

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

8477472960 is a wasteful number, since it uses less digits than its factorization.

8477472960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The square root of 8477472960 is about 92073.1934930032. The cubic root of 8477472960 is about 2039.0230616391.

The spelling of 8477472960 in words is "eight billion, four hundred seventy-seven million, four hundred seventy-two thousand, nine hundred sixty".