475599962880 has 1440 divisors, whose sum is σ = 2051404185600. Its totient is φ = 102911606784.

The previous prime is 475599962869. The next prime is 475599962881. The reversal of 475599962880 is 88269995574.

475599962880 is a `hidden beast` number, since 4 + 7 + 5 + 599 + 9 + 6 + 28 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 = 475599962799 and 475599962808.

It is not an unprimeable number, because it can be changed into a prime (475599962881) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1241775169 + ... + 1241775551.

It is an arithmetic number, because the mean of its divisors is an integer number (1424586240).

Almost surely, 2^475599962880 is an apocalyptic number.

475599962880 is a gapful number since it is divisible by the number (40) 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 475599962880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1025702092800).

475599962880 is an abundant number, since it is smaller than the sum of its proper divisors (1575804222720).

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

475599962880 is a wasteful number, since it uses less digits than its factorization.

475599962880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 72.

The spelling of 475599962880 in words is "four hundred seventy-five billion, five hundred ninety-nine million, nine hundred sixty-two thousand, eight hundred eighty".