488206544760 has 512 divisors, whose sum is σ = 1886198400000. Its totient is φ = 111180625920.

The previous prime is 488206544717. The next prime is 488206544831. The reversal of 488206544760 is 67445602884.

It is a happy number.

488206544760 is a `hidden beast` number, since 4 + 8 + 8 + 20 + 6 + 544 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 488206544697 and 488206544706.

It is a congruent number.

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, 12728091 + ... + 12766389.

It is an arithmetic number, because the mean of its divisors is an integer number (3683981250).

Almost surely, 2^488206544760 is an apocalyptic number.

488206544760 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 488206544760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943099200000).

488206544760 is an abundant number, since it is smaller than the sum of its proper divisors (1397991855240).

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

488206544760 is a wasteful number, since it uses less digits than its factorization.

488206544760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38396 (or 38386 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 488206544760 in words is "four hundred eighty-eight billion, two hundred six million, five hundred forty-four thousand, seven hundred sixty".