488793346560 has 400 divisors, whose sum is σ = 1758147384312. Its totient is φ = 129790771200.

The previous prime is 488793346493. The next prime is 488793346597. The reversal of 488793346560 is 65643397884.

488793346560 is a `hidden beast` number, since 4 + 8 + 87 + 9 + 33 + 465 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 426085173504 + 62708173056 = 652752^2 + 250416^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 49968870 + ... + 49978650.

Almost surely, 2^488793346560 is an apocalyptic number.

488793346560 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 488793346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879073692156).

488793346560 is an abundant number, since it is smaller than the sum of its proper divisors (1269354037752).

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

488793346560 is an equidigital number, since it uses as much as digits as its factorization.

488793346560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10057 (or 10032 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 488793346560 in words is "four hundred eighty-eight billion, seven hundred ninety-three million, three hundred forty-six thousand, five hundred sixty".