9475079874480 has 640 divisors, whose sum is σ = 35851069670400. Its totient is φ = 2281042944000.

The previous prime is 9475079874473. The next prime is 9475079874499. The reversal of 9475079874480 is 844789705749.

9475079874480 is a `hidden beast` number, since 9 + 4 + 7 + 5 + 0 + 79 + 8 + 74 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 9475079874399 and 9475079874408.

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, 5261009580 + ... + 5261011380.

It is an arithmetic number, because the mean of its divisors is an integer number (56017296360).

Almost surely, 2^{9475079874480} is an apocalyptic number.

9475079874480 is a gapful number since it is divisible by the number (90) 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 9475079874480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17925534835200).

9475079874480 is an abundant number, since it is smaller than the sum of its proper divisors (26375989795920).

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

9475079874480 is a wasteful number, since it uses less digits than its factorization.

9475079874480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3250 (or 3238 counting only the distinct ones).

The product of its (nonzero) digits is 568995840, while the sum is 72.

The spelling of 9475079874480 in words is "nine trillion, four hundred seventy-five billion, seventy-nine million, eight hundred seventy-four thousand, four hundred eighty".