478757567520 has 192 divisors, whose sum is σ = 1688444714880. Its totient is φ = 126693964800.

The previous prime is 478757567413. The next prime is 478757567551. The reversal of 478757567520 is 25765757874.

It is a happy number.

478757567520 is a `hidden beast` number, since 4 + 7 + 8 + 7 + 57 + 56 + 7 + 520 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142930 + ... + 988910.

It is an arithmetic number, because the mean of its divisors is an integer number (8793982890).

Almost surely, 2^478757567520 is an apocalyptic number.

478757567520 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 478757567520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844222357440).

478757567520 is an abundant number, since it is smaller than the sum of its proper divisors (1209687147360).

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

478757567520 is a wasteful number, since it uses less digits than its factorization.

478757567520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846136 (or 846122 counting only the distinct ones).

The product of its (nonzero) digits is 115248000, while the sum is 63.

The spelling of 478757567520 in words is "four hundred seventy-eight billion, seven hundred fifty-seven million, five hundred sixty-seven thousand, five hundred twenty".