479120633550 has 624 divisors, whose sum is σ = 1536097360560. Its totient is φ = 110199605760.

The previous prime is 479120633503. The next prime is 479120633599. The reversal of 479120633550 is 55336021974.

479120633550 is a `hidden beast` number, since 4 + 7 + 9 + 1 + 2 + 0 + 633 + 5 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 479120633496 and 479120633505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 311 ways as a sum of consecutive naturals, for example, 6563296314 + ... + 6563296386.

Almost surely, 2^479120633550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 479120633550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768048680280).

479120633550 is an abundant number, since it is smaller than the sum of its proper divisors (1056976727010).

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

479120633550 is an equidigital number, since it uses as much as digits as its factorization.

479120633550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 479120633550 in words is "four hundred seventy-nine billion, one hundred twenty million, six hundred thirty-three thousand, five hundred fifty".