487772380569600 has 4032 divisors, whose sum is σ = 2185308643295232. Its totient is φ = 105598726963200.

The previous prime is 487772380569589. The next prime is 487772380569623. The reversal of 487772380569600 is 6965083277784.

487772380569600 is a `hidden beast` number, since 4 + 8 + 7 + 7 + 7 + 2 + 3 + 8 + 0 + 5 + 6 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 10378135756777 + ... + 10378135756823.

It is an arithmetic number, because the mean of its divisors is an integer number (541991230976).

Almost surely, 2^{487772380569600} is an apocalyptic number.

487772380569600 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 487772380569600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092654321647616).

487772380569600 is an abundant number, since it is smaller than the sum of its proper divisors (1697536262725632).

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

487772380569600 is an frugal number, since it uses more digits than its factorization.

487772380569600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 853493760, while the sum is 72.

The spelling of 487772380569600 in words is "four hundred eighty-seven trillion, seven hundred seventy-two billion, three hundred eighty million, five hundred sixty-nine thousand, six hundred".