487575728640 has 2880 divisors, whose sum is σ = 2435491618560. Its totient is φ = 90296156160.

The previous prime is 487575728639. The next prime is 487575728681. The reversal of 487575728640 is 46827575784.

It is a happy number.

487575728640 is a `hidden beast` number, since 4 + 8 + 7 + 57 + 572 + 8 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 16812956146 + ... + 16812956174.

It is an arithmetic number, because the mean of its divisors is an integer number (845656812).

Almost surely, 2^487575728640 is an apocalyptic number.

487575728640 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 487575728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217745809280).

487575728640 is an abundant number, since it is smaller than the sum of its proper divisors (1947915889920).

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

487575728640 is an equidigital number, since it uses as much as digits as its factorization.

487575728640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 105369600, while the sum is 63.

The spelling of 487575728640 in words is "four hundred eighty-seven billion, five hundred seventy-five million, seven hundred twenty-eight thousand, six hundred forty".